The tax on a property with an assessed value of $66,000 is $675. Using a proportion, find the tax on a property with an assessed value of $93,000

Answer 1

To determine the tax on a property with an assessed value of $93,000 using a proportion, we can set up the proportion based on the given information:

\[
\frac{\text{Tax}_1}{\text{Assessed Value}_1} = \frac{\text{Tax}_2}{\text{Assessed Value}_2}
\]

Given:
- Tax on the first property (\(\text{Tax}_1\)) = $675
- Assessed value of the first property (\(\text{Assessed Value}_1\)) = $66,000
- Assessed value of the second property (\(\text{Assessed Value}_2\)) = $93,000
- Tax on the second property (\(\text{Tax}_2\)) = ?

Plug these values into the proportion:

\[
\frac{675}{66,000} = \frac{\text{Tax}_2}{93,000}
\]

Now, solve for \(\text{Tax}_2\):

1. Cross-multiply to find \(\text{Tax}_2\):

\[
675 \times 93,000 = 66,000 \times \text{Tax}_2
\]

2. Calculate the left side of the equation:

\[
675 \times 93,000 = 62,775,000
\]

3. Divide both sides by 66,000 to isolate \(\text{Tax}_2\):

\[
\text{Tax}_2 = \frac{62,775,000}{66,000}
\]

4. Perform the division:

\[
\text{Tax}_2 = 951.14
\]

Therefore, the tax on a property with an assessed value of $93,000 is approximately $951.14.