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Finding the Fourth Proportional to 89,682.38, 123,760.13 and 49,399.86

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Solution

The fourth proportional to 89,682.38, 123,760.13 and 49,399.86 is: 68,170.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,682.38 : 123,760.13 = 49,399.86 : x
  2. Step 2: Convert to fraction form
    89,682.38/123,760.13 = 49,399.86/x
  3. Step 3: Cross multiply
    89,682.38x = 123,760.13 × 49,399.86
  4. Step 4: Simplify right side
    89,682.38x = 6,113,733,095.58
  5. Step 5: Solve for x
    x = 6,113,733,095.58/89,682.38
  6. Step 6: Final answer
    x = 68,170.95

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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.