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Finding the Fourth Proportional to 82,033.50, 123,062.13 and 25,854.60

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Solution

The fourth proportional to 82,033.50, 123,062.13 and 25,854.60 is: 38,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,033.50 : 123,062.13 = 25,854.60 : x
  2. Step 2: Convert to fraction form
    82,033.50/123,062.13 = 25,854.60/x
  3. Step 3: Cross multiply
    82,033.50x = 123,062.13 × 25,854.60
  4. Step 4: Simplify right side
    82,033.50x = 3,181,722,146.30
  5. Step 5: Solve for x
    x = 3,181,722,146.30/82,033.50
  6. Step 6: Final answer
    x = 38,785.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.