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Finding the Fourth Proportional to 31,405.33, 47,109.62 and 8,031.97

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Solution

The fourth proportional to 31,405.33, 47,109.62 and 8,031.97 is: 12,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,405.33 : 47,109.62 = 8,031.97 : x
  2. Step 2: Convert to fraction form
    31,405.33/47,109.62 = 8,031.97/x
  3. Step 3: Cross multiply
    31,405.33x = 47,109.62 × 8,031.97
  4. Step 4: Simplify right side
    31,405.33x = 378,383,014.39
  5. Step 5: Solve for x
    x = 378,383,014.39/31,405.33
  6. Step 6: Final answer
    x = 12,048.37

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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.