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$\begin{tabular}{|c|c|} \hline $X$ & $Y$ \\ \hline<br/>1 & 4 \\ \hline<br/>3 & 12 \\ \hline<br/>5 & 20 \\ \hline<br/>40 & $k$ \\ \hline \end{tabular}$ In the table above, the ratio of $y$ to $x$ for each ordered pair is constant. What is the value of $k$ ?