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Finding the Fourth Proportional to 82,016.30, 113,182.49 and 44,290.55

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Solution

The fourth proportional to 82,016.30, 113,182.49 and 44,290.55 is: 61,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,016.30 : 113,182.49 = 44,290.55 : x
  2. Step 2: Convert to fraction form
    82,016.30/113,182.49 = 44,290.55/x
  3. Step 3: Cross multiply
    82,016.30x = 113,182.49 × 44,290.55
  4. Step 4: Simplify right side
    82,016.30x = 5,012,914,364.93
  5. Step 5: Solve for x
    x = 5,012,914,364.93/82,016.30
  6. Step 6: Final answer
    x = 61,120.95

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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.