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Finding the Fourth Proportional to 31,382.68, 47,081.02 and 10,605.64

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Solution

The fourth proportional to 31,382.68, 47,081.02 and 10,605.64 is: 15,910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.68 : 47,081.02 = 10,605.64 : x
  2. Step 2: Convert to fraction form
    31,382.68/47,081.02 = 10,605.64/x
  3. Step 3: Cross multiply
    31,382.68x = 47,081.02 × 10,605.64
  4. Step 4: Simplify right side
    31,382.68x = 499,324,348.95
  5. Step 5: Solve for x
    x = 499,324,348.95/31,382.68
  6. Step 6: Final answer
    x = 15,910.83

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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.