If $j$ and $k$ are inversely proportional and $j = 42$ when $k = 56$, what is the value of $j$ when $k = 32$? Express your answer as a decimal rounded to the nearest tenth.
To solve this problem, I need to recall what it means for two quantities to be inversely proportional. This means that there is some constant $c$ such that $j \cdot k = c$ for any values of $j$ and $k$. To find $c$, I can use the given values of $j$ and $k$. I have $42 \cdot 56 = c$, so $c = 2352$. Now that I have $c$, I can use it to find $j$ when $k = 32$. I have $j \cdot 32 = 2352$, so $j = \frac{2352}{32} = 73.5$. Therefore, the value of $j$ when $k = 32$ is $73.5$.

