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Finding the Fourth Proportional to 89,517.73, 123,532 and 49,231.48

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Solution

The fourth proportional to 89,517.73, 123,532 and 49,231.48 is: 67,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,517.73 : 123,532 = 49,231.48 : x
  2. Step 2: Convert to fraction form
    89,517.73/123,532 = 49,231.48/x
  3. Step 3: Cross multiply
    89,517.73x = 123,532 × 49,231.48
  4. Step 4: Simplify right side
    89,517.73x = 6,081,663,187.36
  5. Step 5: Solve for x
    x = 6,081,663,187.36/89,517.73
  6. Step 6: Final answer
    x = 67,938.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.