Write a proportion to represent each problem. Solve the proportion

Question

1. 62% of what number is 50.4?
2. 7 out of 28 is what percentage?
3. 90 is 100% of what percentage?
4.How much is 72% of 54?
5. What percentage of 132 is 76.56?

Answer 1

1. \( \frac{62}{100} = \frac{50.4}{x} \)
\( \frac{62x}{100} = 50.4 \)
\( x = \frac{50.4 \times 100}{62} \)
\( x = 81.9355 \)

2. \( \frac{7}{28} = \frac{x}{100} \)
\( 28x = 700 \)
\( x = \frac{700}{28} \)
\( x = 25 \)

3. \( \frac{90}{x} = \frac{100}{100} \)
\( 100x = 9000 \)
\( x = \frac{9000}{100} \)
\( x = 90 \)

4. \( \frac{72}{100} = \frac{x}{54} \)
\( 72 \times 54 = 100x \)
\( 100x = 3888 \)
\( x = \frac{3888}{100} \)
\( x = 38.88 \)

5. \( \frac{x}{132} = \frac{76.56}{100} \)
\( 132x = 7656 \)
\( x = \frac{7656}{132} \)
\( x = 58 \) (approximate)