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Finding the Fourth Proportional to 83,711.31, 115,442.33 and 54,980.42

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Solution

The fourth proportional to 83,711.31, 115,442.33 and 54,980.42 is: 75,820.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,711.31 : 115,442.33 = 54,980.42 : x
  2. Step 2: Convert to fraction form
    83,711.31/115,442.33 = 54,980.42/x
  3. Step 3: Cross multiply
    83,711.31x = 115,442.33 × 54,980.42
  4. Step 4: Simplify right side
    83,711.31x = 6,347,066,937.06
  5. Step 5: Solve for x
    x = 6,347,066,937.06/83,711.31
  6. Step 6: Final answer
    x = 75,820.90

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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.