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Finding the Fourth Proportional to 31,847.70, 47,793.15 and 20,727.30

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Solution

The fourth proportional to 31,847.70, 47,793.15 and 20,727.30 is: 31,105.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.70 : 47,793.15 = 20,727.30 : x
  2. Step 2: Convert to fraction form
    31,847.70/47,793.15 = 20,727.30/x
  3. Step 3: Cross multiply
    31,847.70x = 47,793.15 × 20,727.30
  4. Step 4: Simplify right side
    31,847.70x = 990,622,958.00
  5. Step 5: Solve for x
    x = 990,622,958.00/31,847.70
  6. Step 6: Final answer
    x = 31,105.01

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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.