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Finding the Fourth Proportional to 31,942.56, 47,874.15 and 20,259.12

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Solution

The fourth proportional to 31,942.56, 47,874.15 and 20,259.12 is: 30,363.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,942.56 : 47,874.15 = 20,259.12 : x
  2. Step 2: Convert to fraction form
    31,942.56/47,874.15 = 20,259.12/x
  3. Step 3: Cross multiply
    31,942.56x = 47,874.15 × 20,259.12
  4. Step 4: Simplify right side
    31,942.56x = 969,888,149.75
  5. Step 5: Solve for x
    x = 969,888,149.75/31,942.56
  6. Step 6: Final answer
    x = 30,363.51

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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.