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Finding the Fourth Proportional to 82,104.57, 113,304.32 and 44,378.82

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Solution

The fourth proportional to 82,104.57, 113,304.32 and 44,378.82 is: 61,242.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,104.57 : 113,304.32 = 44,378.82 : x
  2. Step 2: Convert to fraction form
    82,104.57/113,304.32 = 44,378.82/x
  3. Step 3: Cross multiply
    82,104.57x = 113,304.32 × 44,378.82
  4. Step 4: Simplify right side
    82,104.57x = 5,028,311,800.61
  5. Step 5: Solve for x
    x = 5,028,311,800.61/82,104.57
  6. Step 6: Final answer
    x = 61,242.78

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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.