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Finding the Fourth Proportional to 71,599.17, 107,399.04 and 24,214.50

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Solution

The fourth proportional to 71,599.17, 107,399.04 and 24,214.50 is: 36,321.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,599.17 : 107,399.04 = 24,214.50 : x
  2. Step 2: Convert to fraction form
    71,599.17/107,399.04 = 24,214.50/x
  3. Step 3: Cross multiply
    71,599.17x = 107,399.04 × 24,214.50
  4. Step 4: Simplify right side
    71,599.17x = 2,600,614,054.08
  5. Step 5: Solve for x
    x = 2,600,614,054.08/71,599.17
  6. Step 6: Final answer
    x = 36,321.85

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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.