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Finding the Fourth Proportional to 49,887, 68,844.06 and 27,531

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Solution

The fourth proportional to 49,887, 68,844.06 and 27,531 is: 37,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,887 : 68,844.06 = 27,531 : x
  2. Step 2: Convert to fraction form
    49,887/68,844.06 = 27,531/x
  3. Step 3: Cross multiply
    49,887x = 68,844.06 × 27,531
  4. Step 4: Simplify right side
    49,887x = 1,895,345,815.86
  5. Step 5: Solve for x
    x = 1,895,345,815.86/49,887
  6. Step 6: Final answer
    x = 37,992.78

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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.