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Finding the Fourth Proportional to 49,676, 68,553.20 and 27,015.24

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Solution

The fourth proportional to 49,676, 68,553.20 and 27,015.24 is: 37,281.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,676 : 68,553.20 = 27,015.24 : x
  2. Step 2: Convert to fraction form
    49,676/68,553.20 = 27,015.24/x
  3. Step 3: Cross multiply
    49,676x = 68,553.20 × 27,015.24
  4. Step 4: Simplify right side
    49,676x = 1,851,981,150.77
  5. Step 5: Solve for x
    x = 1,851,981,150.77/49,676
  6. Step 6: Final answer
    x = 37,281.21

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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.