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Finding the Fourth Proportional to 31,857.12, 47,856 and 20,781.12

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Solution

The fourth proportional to 31,857.12, 47,856 and 20,781.12 is: 31,217.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.12 : 47,856 = 20,781.12 : x
  2. Step 2: Convert to fraction form
    31,857.12/47,856 = 20,781.12/x
  3. Step 3: Cross multiply
    31,857.12x = 47,856 × 20,781.12
  4. Step 4: Simplify right side
    31,857.12x = 994,501,278.72
  5. Step 5: Solve for x
    x = 994,501,278.72/31,857.12
  6. Step 6: Final answer
    x = 31,217.55

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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.