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Finding the Fourth Proportional to 31,472.68, 47,217.22 and 11,751.40

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Solution

The fourth proportional to 31,472.68, 47,217.22 and 11,751.40 is: 17,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,472.68 : 47,217.22 = 11,751.40 : x
  2. Step 2: Convert to fraction form
    31,472.68/47,217.22 = 11,751.40/x
  3. Step 3: Cross multiply
    31,472.68x = 47,217.22 × 11,751.40
  4. Step 4: Simplify right side
    31,472.68x = 554,868,439.11
  5. Step 5: Solve for x
    x = 554,868,439.11/31,472.68
  6. Step 6: Final answer
    x = 17,630.16

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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.