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Finding the Fourth Proportional to 31,544.97, 47,318.67 and 8,171.49

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Solution

The fourth proportional to 31,544.97, 47,318.67 and 8,171.49 is: 12,257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,544.97 : 47,318.67 = 8,171.49 : x
  2. Step 2: Convert to fraction form
    31,544.97/47,318.67 = 8,171.49/x
  3. Step 3: Cross multiply
    31,544.97x = 47,318.67 × 8,171.49
  4. Step 4: Simplify right side
    31,544.97x = 386,664,038.72
  5. Step 5: Solve for x
    x = 386,664,038.72/31,544.97
  6. Step 6: Final answer
    x = 12,257.55

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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.