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Finding the Fourth Proportional to 31,073.33, 42,897.42 and 24,252.70

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Solution

The fourth proportional to 31,073.33, 42,897.42 and 24,252.70 is: 33,481.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,073.33 : 42,897.42 = 24,252.70 : x
  2. Step 2: Convert to fraction form
    31,073.33/42,897.42 = 24,252.70/x
  3. Step 3: Cross multiply
    31,073.33x = 42,897.42 × 24,252.70
  4. Step 4: Simplify right side
    31,073.33x = 1,040,378,258.03
  5. Step 5: Solve for x
    x = 1,040,378,258.03/31,073.33
  6. Step 6: Final answer
    x = 33,481.39

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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.