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Finding the Fourth Proportional to 31,843.28, 43,932.36 and 21,890

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Solution

The fourth proportional to 31,843.28, 43,932.36 and 21,890 is: 30,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.28 : 43,932.36 = 21,890 : x
  2. Step 2: Convert to fraction form
    31,843.28/43,932.36 = 21,890/x
  3. Step 3: Cross multiply
    31,843.28x = 43,932.36 × 21,890
  4. Step 4: Simplify right side
    31,843.28x = 961,679,360.40
  5. Step 5: Solve for x
    x = 961,679,360.40/31,843.28
  6. Step 6: Final answer
    x = 30,200.39

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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.