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Finding the Fourth Proportional to 82,033.20, 123,049.44 and 22,868.88

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Solution

The fourth proportional to 82,033.20, 123,049.44 and 22,868.88 is: 34,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,033.20 : 123,049.44 = 22,868.88 : x
  2. Step 2: Convert to fraction form
    82,033.20/123,049.44 = 22,868.88/x
  3. Step 3: Cross multiply
    82,033.20x = 123,049.44 × 22,868.88
  4. Step 4: Simplify right side
    82,033.20x = 2,814,002,877.43
  5. Step 5: Solve for x
    x = 2,814,002,877.43/82,033.20
  6. Step 6: Final answer
    x = 34,303.22

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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.