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Finding the Fourth Proportional to 89,524, 123,544.14 and 49,238.43

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Solution

The fourth proportional to 89,524, 123,544.14 and 49,238.43 is: 67,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,524 : 123,544.14 = 49,238.43 : x
  2. Step 2: Convert to fraction form
    89,524/123,544.14 = 49,238.43/x
  3. Step 3: Cross multiply
    89,524x = 123,544.14 × 49,238.43
  4. Step 4: Simplify right side
    89,524x = 6,083,119,489.30
  5. Step 5: Solve for x
    x = 6,083,119,489.30/89,524
  6. Step 6: Final answer
    x = 67,949.59

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