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Finding the Fourth Proportional to 52,174.50, 72,002.10 and 29,512.43

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Solution

The fourth proportional to 52,174.50, 72,002.10 and 29,512.43 is: 40,727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,174.50 : 72,002.10 = 29,512.43 : x
  2. Step 2: Convert to fraction form
    52,174.50/72,002.10 = 29,512.43/x
  3. Step 3: Cross multiply
    52,174.50x = 72,002.10 × 29,512.43
  4. Step 4: Simplify right side
    52,174.50x = 2,124,956,712.76
  5. Step 5: Solve for x
    x = 2,124,956,712.76/52,174.50
  6. Step 6: Final answer
    x = 40,727.88

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