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Finding the Fourth Proportional to 31,879.44, 47,775.40 and 20,171.70

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Solution

The fourth proportional to 31,879.44, 47,775.40 and 20,171.70 is: 30,229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,879.44 : 47,775.40 = 20,171.70 : x
  2. Step 2: Convert to fraction form
    31,879.44/47,775.40 = 20,171.70/x
  3. Step 3: Cross multiply
    31,879.44x = 47,775.40 × 20,171.70
  4. Step 4: Simplify right side
    31,879.44x = 963,711,036.18
  5. Step 5: Solve for x
    x = 963,711,036.18/31,879.44
  6. Step 6: Final answer
    x = 30,229.86

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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.