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Finding the Fourth Proportional to 73,149.98, 109,747.10 and 51,843.90

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Solution

The fourth proportional to 73,149.98, 109,747.10 and 51,843.90 is: 77,781.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,149.98 : 109,747.10 = 51,843.90 : x
  2. Step 2: Convert to fraction form
    73,149.98/109,747.10 = 51,843.90/x
  3. Step 3: Cross multiply
    73,149.98x = 109,747.10 × 51,843.90
  4. Step 4: Simplify right side
    73,149.98x = 5,689,717,967.94
  5. Step 5: Solve for x
    x = 5,689,717,967.94/73,149.98
  6. Step 6: Final answer
    x = 77,781.54

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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.