Answer
$104\;mi$.
Work Step by Step
The distance on the map measures $a=3\frac{1}{4}\;in$.
Let the actual distance is $=d$.
Equate the scare drawing ratio with $a:d$.
$\Rightarrow \frac{1}{32}=\frac{3\frac{1}{4}}{d}$
Cross multiply.
$\Rightarrow 1d=32(3\frac{1}{4})$
Simplify.
$\Rightarrow d=32(\frac{13}{4})$
$\Rightarrow d=104\;mi$.