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Finding the Fourth Proportional to 31,481.95, 47,221.39 and 11,758.97

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Solution

The fourth proportional to 31,481.95, 47,221.39 and 11,758.97 is: 17,637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,481.95 : 47,221.39 = 11,758.97 : x
  2. Step 2: Convert to fraction form
    31,481.95/47,221.39 = 11,758.97/x
  3. Step 3: Cross multiply
    31,481.95x = 47,221.39 × 11,758.97
  4. Step 4: Simplify right side
    31,481.95x = 555,274,908.37
  5. Step 5: Solve for x
    x = 555,274,908.37/31,481.95
  6. Step 6: Final answer
    x = 17,637.88

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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.