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Finding the Fourth Proportional to 31,624.68, 47,436.96 and 8,251.11

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Solution

The fourth proportional to 31,624.68, 47,436.96 and 8,251.11 is: 12,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,624.68 : 47,436.96 = 8,251.11 : x
  2. Step 2: Convert to fraction form
    31,624.68/47,436.96 = 8,251.11/x
  3. Step 3: Cross multiply
    31,624.68x = 47,436.96 × 8,251.11
  4. Step 4: Simplify right side
    31,624.68x = 391,407,714.25
  5. Step 5: Solve for x
    x = 391,407,714.25/31,624.68
  6. Step 6: Final answer
    x = 12,376.66

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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.