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Finding the Fourth Proportional to 32,711.40, 49,016.70 and 24,352.20

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Solution

The fourth proportional to 32,711.40, 49,016.70 and 24,352.20 is: 36,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,711.40 : 49,016.70 = 24,352.20 : x
  2. Step 2: Convert to fraction form
    32,711.40/49,016.70 = 24,352.20/x
  3. Step 3: Cross multiply
    32,711.40x = 49,016.70 × 24,352.20
  4. Step 4: Simplify right side
    32,711.40x = 1,193,664,481.74
  5. Step 5: Solve for x
    x = 1,193,664,481.74/32,711.40
  6. Step 6: Final answer
    x = 36,490.78

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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.