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Finding the Fourth Proportional to 82,177.92, 123,158.88 and 44,753.76

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Solution

The fourth proportional to 82,177.92, 123,158.88 and 44,753.76 is: 67,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,177.92 : 123,158.88 = 44,753.76 : x
  2. Step 2: Convert to fraction form
    82,177.92/123,158.88 = 44,753.76/x
  3. Step 3: Cross multiply
    82,177.92x = 123,158.88 × 44,753.76
  4. Step 4: Simplify right side
    82,177.92x = 5,511,822,957.39
  5. Step 5: Solve for x
    x = 5,511,822,957.39/82,177.92
  6. Step 6: Final answer
    x = 67,071.82

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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.