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Finding the Fourth Proportional to 71,042.92, 106,446.84 and 63,717.16

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Solution

The fourth proportional to 71,042.92, 106,446.84 and 63,717.16 is: 95,470.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,042.92 : 106,446.84 = 63,717.16 : x
  2. Step 2: Convert to fraction form
    71,042.92/106,446.84 = 63,717.16/x
  3. Step 3: Cross multiply
    71,042.92x = 106,446.84 × 63,717.16
  4. Step 4: Simplify right side
    71,042.92x = 6,782,490,335.77
  5. Step 5: Solve for x
    x = 6,782,490,335.77/71,042.92
  6. Step 6: Final answer
    x = 95,470.32

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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.