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Finding the Fourth Proportional to 52,149.06, 71,972.22 and 29,489.30

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Solution

The fourth proportional to 52,149.06, 71,972.22 and 29,489.30 is: 40,698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,149.06 : 71,972.22 = 29,489.30 : x
  2. Step 2: Convert to fraction form
    52,149.06/71,972.22 = 29,489.30/x
  3. Step 3: Cross multiply
    52,149.06x = 71,972.22 × 29,489.30
  4. Step 4: Simplify right side
    52,149.06x = 2,122,410,387.25
  5. Step 5: Solve for x
    x = 2,122,410,387.25/52,149.06
  6. Step 6: Final answer
    x = 40,698.92

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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.