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Finding the Fourth Proportional to 89,474.66, 123,477.38 and 49,189.43

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Solution

The fourth proportional to 89,474.66, 123,477.38 and 49,189.43 is: 67,882.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,474.66 : 123,477.38 = 49,189.43 : x
  2. Step 2: Convert to fraction form
    89,474.66/123,477.38 = 49,189.43/x
  3. Step 3: Cross multiply
    89,474.66x = 123,477.38 × 49,189.43
  4. Step 4: Simplify right side
    89,474.66x = 6,073,782,371.76
  5. Step 5: Solve for x
    x = 6,073,782,371.76/89,474.66
  6. Step 6: Final answer
    x = 67,882.71

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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.