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Finding the Fourth Proportional to 87,634.38, 120,935.44 and 49,912.14

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Solution

The fourth proportional to 87,634.38, 120,935.44 and 49,912.14 is: 68,878.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,634.38 : 120,935.44 = 49,912.14 : x
  2. Step 2: Convert to fraction form
    87,634.38/120,935.44 = 49,912.14/x
  3. Step 3: Cross multiply
    87,634.38x = 120,935.44 × 49,912.14
  4. Step 4: Simplify right side
    87,634.38x = 6,036,146,612.24
  5. Step 5: Solve for x
    x = 6,036,146,612.24/87,634.38
  6. Step 6: Final answer
    x = 68,878.75

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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.