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Finding the Fourth Proportional to 83,601.52, 125,314.80 and 52,011.52

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Solution

The fourth proportional to 83,601.52, 125,314.80 and 52,011.52 is: 77,962.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,601.52 : 125,314.80 = 52,011.52 : x
  2. Step 2: Convert to fraction form
    83,601.52/125,314.80 = 52,011.52/x
  3. Step 3: Cross multiply
    83,601.52x = 125,314.80 × 52,011.52
  4. Step 4: Simplify right side
    83,601.52x = 6,517,813,226.50
  5. Step 5: Solve for x
    x = 6,517,813,226.50/83,601.52
  6. Step 6: Final answer
    x = 77,962.86

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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.