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Finding the Fourth Proportional to 83,767.76, 125,471.19 and 39,327.92

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Solution

The fourth proportional to 83,767.76, 125,471.19 and 39,327.92 is: 58,907.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,767.76 : 125,471.19 = 39,327.92 : x
  2. Step 2: Convert to fraction form
    83,767.76/125,471.19 = 39,327.92/x
  3. Step 3: Cross multiply
    83,767.76x = 125,471.19 × 39,327.92
  4. Step 4: Simplify right side
    83,767.76x = 4,934,520,922.62
  5. Step 5: Solve for x
    x = 4,934,520,922.62/83,767.76
  6. Step 6: Final answer
    x = 58,907.16

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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.