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Finding the Fourth Proportional to 52,142.98, 71,956.88 and 29,486.42

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Solution

The fourth proportional to 52,142.98, 71,956.88 and 29,486.42 is: 40,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,142.98 : 71,956.88 = 29,486.42 : x
  2. Step 2: Convert to fraction form
    52,142.98/71,956.88 = 29,486.42/x
  3. Step 3: Cross multiply
    52,142.98x = 71,956.88 × 29,486.42
  4. Step 4: Simplify right side
    52,142.98x = 2,121,750,453.91
  5. Step 5: Solve for x
    x = 2,121,750,453.91/52,142.98
  6. Step 6: Final answer
    x = 40,691.01

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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.