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Finding the Fourth Proportional to 31,651.39, 47,463.24 and 15,016.17

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Solution

The fourth proportional to 31,651.39, 47,463.24 and 15,016.17 is: 22,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.39 : 47,463.24 = 15,016.17 : x
  2. Step 2: Convert to fraction form
    31,651.39/47,463.24 = 15,016.17/x
  3. Step 3: Cross multiply
    31,651.39x = 47,463.24 × 15,016.17
  4. Step 4: Simplify right side
    31,651.39x = 712,716,314.89
  5. Step 5: Solve for x
    x = 712,716,314.89/31,651.39
  6. Step 6: Final answer
    x = 22,517.69

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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.