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Finding the Fourth Proportional to 83,382.60, 115,069.34 and 45,654.42

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Solution

The fourth proportional to 83,382.60, 115,069.34 and 45,654.42 is: 63,003.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,382.60 : 115,069.34 = 45,654.42 : x
  2. Step 2: Convert to fraction form
    83,382.60/115,069.34 = 45,654.42/x
  3. Step 3: Cross multiply
    83,382.60x = 115,069.34 × 45,654.42
  4. Step 4: Simplify right side
    83,382.60x = 5,253,423,977.48
  5. Step 5: Solve for x
    x = 5,253,423,977.48/83,382.60
  6. Step 6: Final answer
    x = 63,003.84

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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.