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Finding the Fourth Proportional to 31,163.97, 42,982.02 and 27,582.78

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Solution

The fourth proportional to 31,163.97, 42,982.02 and 27,582.78 is: 38,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,163.97 : 42,982.02 = 27,582.78 : x
  2. Step 2: Convert to fraction form
    31,163.97/42,982.02 = 27,582.78/x
  3. Step 3: Cross multiply
    31,163.97x = 42,982.02 × 27,582.78
  4. Step 4: Simplify right side
    31,163.97x = 1,185,563,601.62
  5. Step 5: Solve for x
    x = 1,185,563,601.62/31,163.97
  6. Step 6: Final answer
    x = 38,042.77

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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.