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Finding the Fourth Proportional to 20,101.70, 30,149.92 and 5,311.73

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Solution

The fourth proportional to 20,101.70, 30,149.92 and 5,311.73 is: 7,966.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.70 : 30,149.92 = 5,311.73 : x
  2. Step 2: Convert to fraction form
    20,101.70/30,149.92 = 5,311.73/x
  3. Step 3: Cross multiply
    20,101.70x = 30,149.92 × 5,311.73
  4. Step 4: Simplify right side
    20,101.70x = 160,148,234.56
  5. Step 5: Solve for x
    x = 160,148,234.56/20,101.70
  6. Step 6: Final answer
    x = 7,966.90

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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.