To determine if \( p = 48 \) is a solution to the equation
\[ \frac{p}{4} = 12, \]
we can substitute \( p \) with 48 and see if the equation holds true:
\[ \frac{48}{4} = 12. \]
Calculating the left side:
\[ \frac{48}{4} = 12. \]
Since both sides of the equation are equal, the answer is:
Yes, \( p = 48 \) is a solution to the equation.