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Finding the Fourth Proportional to 49,908.64, 68,874.16 and 27,552.64

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Solution

The fourth proportional to 49,908.64, 68,874.16 and 27,552.64 is: 38,022.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,908.64 : 68,874.16 = 27,552.64 : x
  2. Step 2: Convert to fraction form
    49,908.64/68,874.16 = 27,552.64/x
  3. Step 3: Cross multiply
    49,908.64x = 68,874.16 × 27,552.64
  4. Step 4: Simplify right side
    49,908.64x = 1,897,664,935.78
  5. Step 5: Solve for x
    x = 1,897,664,935.78/49,908.64
  6. Step 6: Final answer
    x = 38,022.77

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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.