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Finding the Fourth Proportional to 31,247.71, 43,141.97 and 27,884.74

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Solution

The fourth proportional to 31,247.71, 43,141.97 and 27,884.74 is: 38,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,247.71 : 43,141.97 = 27,884.74 : x
  2. Step 2: Convert to fraction form
    31,247.71/43,141.97 = 27,884.74/x
  3. Step 3: Cross multiply
    31,247.71x = 43,141.97 × 27,884.74
  4. Step 4: Simplify right side
    31,247.71x = 1,203,002,616.54
  5. Step 5: Solve for x
    x = 1,203,002,616.54/31,247.71
  6. Step 6: Final answer
    x = 38,498.90

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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.