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Finding the Fourth Proportional to 89,410.38, 123,385.92 and 49,126.64

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Solution

The fourth proportional to 89,410.38, 123,385.92 and 49,126.64 is: 67,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,410.38 : 123,385.92 = 49,126.64 : x
  2. Step 2: Convert to fraction form
    89,410.38/123,385.92 = 49,126.64/x
  3. Step 3: Cross multiply
    89,410.38x = 123,385.92 × 49,126.64
  4. Step 4: Simplify right side
    89,410.38x = 6,061,535,672.91
  5. Step 5: Solve for x
    x = 6,061,535,672.91/89,410.38
  6. Step 6: Final answer
    x = 67,794.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.