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Finding the Fourth Proportional to 31,711.60, 43,761.90 and 18,282.78

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Solution

The fourth proportional to 31,711.60, 43,761.90 and 18,282.78 is: 25,230.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,711.60 : 43,761.90 = 18,282.78 : x
  2. Step 2: Convert to fraction form
    31,711.60/43,761.90 = 18,282.78/x
  3. Step 3: Cross multiply
    31,711.60x = 43,761.90 × 18,282.78
  4. Step 4: Simplify right side
    31,711.60x = 800,089,190.08
  5. Step 5: Solve for x
    x = 800,089,190.08/31,711.60
  6. Step 6: Final answer
    x = 25,230.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.