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Finding the Fourth Proportional to 83,431.89, 115,131.24 and 49,443.57

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Solution

The fourth proportional to 83,431.89, 115,131.24 and 49,443.57 is: 68,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,431.89 : 115,131.24 = 49,443.57 : x
  2. Step 2: Convert to fraction form
    83,431.89/115,131.24 = 49,443.57/x
  3. Step 3: Cross multiply
    83,431.89x = 115,131.24 × 49,443.57
  4. Step 4: Simplify right side
    83,431.89x = 5,692,499,524.13
  5. Step 5: Solve for x
    x = 5,692,499,524.13/83,431.89
  6. Step 6: Final answer
    x = 68,229.30

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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.