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Finding the Fourth Proportional to 31,847.38, 47,770.55 and 8,154.73

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Solution

The fourth proportional to 31,847.38, 47,770.55 and 8,154.73 is: 12,231.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,847.38 : 47,770.55 = 8,154.73 : x
  2. Step 2: Convert to fraction form
    31,847.38/47,770.55 = 8,154.73/x
  3. Step 3: Cross multiply
    31,847.38x = 47,770.55 × 8,154.73
  4. Step 4: Simplify right side
    31,847.38x = 389,555,896.43
  5. Step 5: Solve for x
    x = 389,555,896.43/31,847.38
  6. Step 6: Final answer
    x = 12,231.96

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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.