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Finding the Fourth Proportional to 82,049.52, 123,076.98 and 22,880.19

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Solution

The fourth proportional to 82,049.52, 123,076.98 and 22,880.19 is: 34,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,049.52 : 123,076.98 = 22,880.19 : x
  2. Step 2: Convert to fraction form
    82,049.52/123,076.98 = 22,880.19/x
  3. Step 3: Cross multiply
    82,049.52x = 123,076.98 × 22,880.19
  4. Step 4: Simplify right side
    82,049.52x = 2,816,024,687.03
  5. Step 5: Solve for x
    x = 2,816,024,687.03/82,049.52
  6. Step 6: Final answer
    x = 34,321.04

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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.