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Finding the Fourth Proportional to 99,493.38, 137,293.92 and 56,473.75

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Solution

The fourth proportional to 99,493.38, 137,293.92 and 56,473.75 is: 77,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,493.38 : 137,293.92 = 56,473.75 : x
  2. Step 2: Convert to fraction form
    99,493.38/137,293.92 = 56,473.75/x
  3. Step 3: Cross multiply
    99,493.38x = 137,293.92 × 56,473.75
  4. Step 4: Simplify right side
    99,493.38x = 7,753,502,686.22
  5. Step 5: Solve for x
    x = 7,753,502,686.22/99,493.38
  6. Step 6: Final answer
    x = 77,929.83

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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.