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Finding the Fourth Proportional to 31,709.59, 43,759.14 and 18,280.78

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Solution

The fourth proportional to 31,709.59, 43,759.14 and 18,280.78 is: 25,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,709.59 : 43,759.14 = 18,280.78 : x
  2. Step 2: Convert to fraction form
    31,709.59/43,759.14 = 18,280.78/x
  3. Step 3: Cross multiply
    31,709.59x = 43,759.14 × 18,280.78
  4. Step 4: Simplify right side
    31,709.59x = 799,951,211.33
  5. Step 5: Solve for x
    x = 799,951,211.33/31,709.59
  6. Step 6: Final answer
    x = 25,227.42

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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.