Finding the Fourth Proportional to 106,547.69, 159,847.56 and 35,470.19
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Solution
The fourth proportional to 106,547.69, 159,847.56 and 35,470.19 is: 53,213.95
Step by Step Solution
- Step 1: Write the proportion equation
106,547.69 : 159,847.56 = 35,470.19 : x - Step 2: Convert to fraction form
106,547.69/159,847.56 = 35,470.19/x - Step 3: Cross multiply
106,547.69x = 159,847.56 × 35,470.19 - Step 4: Simplify right side
106,547.69x = 5,669,823,324.24 - Step 5: Solve for x
x = 5,669,823,324.24/106,547.69 - Step 6: Final answer
x = 53,213.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.