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Finding the Fourth Proportional to 71,597.17, 107,396.04 and 24,212.50

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Solution

The fourth proportional to 71,597.17, 107,396.04 and 24,212.50 is: 36,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,597.17 : 107,396.04 = 24,212.50 : x
  2. Step 2: Convert to fraction form
    71,597.17/107,396.04 = 24,212.50/x
  3. Step 3: Cross multiply
    71,597.17x = 107,396.04 × 24,212.50
  4. Step 4: Simplify right side
    71,597.17x = 2,600,327,044.91
  5. Step 5: Solve for x
    x = 2,600,327,044.91/71,597.17
  6. Step 6: Final answer
    x = 36,318.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.