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Finding the Fourth Proportional to 31,963.33, 47,951.92 and 12,241.89

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Solution

The fourth proportional to 31,963.33, 47,951.92 and 12,241.89 is: 18,365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,963.33 : 47,951.92 = 12,241.89 : x
  2. Step 2: Convert to fraction form
    31,963.33/47,951.92 = 12,241.89/x
  3. Step 3: Cross multiply
    31,963.33x = 47,951.92 × 12,241.89
  4. Step 4: Simplify right side
    31,963.33x = 587,022,129.93
  5. Step 5: Solve for x
    x = 587,022,129.93/31,963.33
  6. Step 6: Final answer
    x = 18,365.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.