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Finding the Fourth Proportional to 82,231.88, 123,348.42 and 19,902.38

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Solution

The fourth proportional to 82,231.88, 123,348.42 and 19,902.38 is: 29,853.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,231.88 : 123,348.42 = 19,902.38 : x
  2. Step 2: Convert to fraction form
    82,231.88/123,348.42 = 19,902.38/x
  3. Step 3: Cross multiply
    82,231.88x = 123,348.42 × 19,902.38
  4. Step 4: Simplify right side
    82,231.88x = 2,454,926,510.50
  5. Step 5: Solve for x
    x = 2,454,926,510.50/82,231.88
  6. Step 6: Final answer
    x = 29,853.71

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Why These Related Problems?

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