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Finding the Fourth Proportional to 33,481.68, 49,982.34 and 31,148.88

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Solution

The fourth proportional to 33,481.68, 49,982.34 and 31,148.88 is: 46,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,481.68 : 49,982.34 = 31,148.88 : x
  2. Step 2: Convert to fraction form
    33,481.68/49,982.34 = 31,148.88/x
  3. Step 3: Cross multiply
    33,481.68x = 49,982.34 × 31,148.88
  4. Step 4: Simplify right side
    33,481.68x = 1,556,893,910.78
  5. Step 5: Solve for x
    x = 1,556,893,910.78/33,481.68
  6. Step 6: Final answer
    x = 46,499.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.