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Finding the Fourth Proportional to 71,382.54, 106,957.01 and 43,217.24

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Solution

The fourth proportional to 71,382.54, 106,957.01 and 43,217.24 is: 64,755.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,382.54 : 106,957.01 = 43,217.24 : x
  2. Step 2: Convert to fraction form
    71,382.54/106,957.01 = 43,217.24/x
  3. Step 3: Cross multiply
    71,382.54x = 106,957.01 × 43,217.24
  4. Step 4: Simplify right side
    71,382.54x = 4,622,386,019.98
  5. Step 5: Solve for x
    x = 4,622,386,019.98/71,382.54
  6. Step 6: Final answer
    x = 64,755.14

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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.