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Finding the Fourth Proportional to 83,769.57, 125,695.36 and 39,400.81

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Solution

The fourth proportional to 83,769.57, 125,695.36 and 39,400.81 is: 59,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,769.57 : 125,695.36 = 39,400.81 : x
  2. Step 2: Convert to fraction form
    83,769.57/125,695.36 = 39,400.81/x
  3. Step 3: Cross multiply
    83,769.57x = 125,695.36 × 39,400.81
  4. Step 4: Simplify right side
    83,769.57x = 4,952,498,997.24
  5. Step 5: Solve for x
    x = 4,952,498,997.24/83,769.57
  6. Step 6: Final answer
    x = 59,120.50

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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.