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Finding the Fourth Proportional to 31,672.72, 47,517.56 and 9,486.16

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Solution

The fourth proportional to 31,672.72, 47,517.56 and 9,486.16 is: 14,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,672.72 : 47,517.56 = 9,486.16 : x
  2. Step 2: Convert to fraction form
    31,672.72/47,517.56 = 9,486.16/x
  3. Step 3: Cross multiply
    31,672.72x = 47,517.56 × 9,486.16
  4. Step 4: Simplify right side
    31,672.72x = 450,759,176.97
  5. Step 5: Solve for x
    x = 450,759,176.97/31,672.72
  6. Step 6: Final answer
    x = 14,231.78

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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.