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Finding the Fourth Proportional to 83,382.59, 115,069.34 and 45,654.41

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Solution

The fourth proportional to 83,382.59, 115,069.34 and 45,654.41 is: 63,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,382.59 : 115,069.34 = 45,654.41 : x
  2. Step 2: Convert to fraction form
    83,382.59/115,069.34 = 45,654.41/x
  3. Step 3: Cross multiply
    83,382.59x = 115,069.34 × 45,654.41
  4. Step 4: Simplify right side
    83,382.59x = 5,253,422,826.79
  5. Step 5: Solve for x
    x = 5,253,422,826.79/83,382.59
  6. Step 6: Final answer
    x = 63,003.83

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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.