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Finding the Fourth Proportional to 31,906.88, 47,854.56 and 11,136.32

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Solution

The fourth proportional to 31,906.88, 47,854.56 and 11,136.32 is: 16,702.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.88 : 47,854.56 = 11,136.32 : x
  2. Step 2: Convert to fraction form
    31,906.88/47,854.56 = 11,136.32/x
  3. Step 3: Cross multiply
    31,906.88x = 47,854.56 × 11,136.32
  4. Step 4: Simplify right side
    31,906.88x = 532,923,693.62
  5. Step 5: Solve for x
    x = 532,923,693.62/31,906.88
  6. Step 6: Final answer
    x = 16,702.47

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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.