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Finding the Fourth Proportional to 31,469.50, 47,222.78 and 13,939.48

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Solution

The fourth proportional to 31,469.50, 47,222.78 and 13,939.48 is: 20,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,469.50 : 47,222.78 = 13,939.48 : x
  2. Step 2: Convert to fraction form
    31,469.50/47,222.78 = 13,939.48/x
  3. Step 3: Cross multiply
    31,469.50x = 47,222.78 × 13,939.48
  4. Step 4: Simplify right side
    31,469.50x = 658,260,997.35
  5. Step 5: Solve for x
    x = 658,260,997.35/31,469.50
  6. Step 6: Final answer
    x = 20,917.43

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