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Finding the Fourth Proportional to 48,949.34, 67,553.43 and 27,728.78

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Solution

The fourth proportional to 48,949.34, 67,553.43 and 27,728.78 is: 38,267.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,949.34 : 67,553.43 = 27,728.78 : x
  2. Step 2: Convert to fraction form
    48,949.34/67,553.43 = 27,728.78/x
  3. Step 3: Cross multiply
    48,949.34x = 67,553.43 × 27,728.78
  4. Step 4: Simplify right side
    48,949.34x = 1,873,174,198.72
  5. Step 5: Solve for x
    x = 1,873,174,198.72/48,949.34
  6. Step 6: Final answer
    x = 38,267.61

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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.