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Finding the Fourth Proportional to 83,542.59, 125,263.84 and 26,591.89

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Solution

The fourth proportional to 83,542.59, 125,263.84 and 26,591.89 is: 39,871.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542.59 : 125,263.84 = 26,591.89 : x
  2. Step 2: Convert to fraction form
    83,542.59/125,263.84 = 26,591.89/x
  3. Step 3: Cross multiply
    83,542.59x = 125,263.84 × 26,591.89
  4. Step 4: Simplify right side
    83,542.59x = 3,331,002,254.26
  5. Step 5: Solve for x
    x = 3,331,002,254.26/83,542.59
  6. Step 6: Final answer
    x = 39,871.91

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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.