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Finding the Fourth Proportional to 31,778.70, 43,853.28 and 18,353.76

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Solution

The fourth proportional to 31,778.70, 43,853.28 and 18,353.76 is: 25,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.70 : 43,853.28 = 18,353.76 : x
  2. Step 2: Convert to fraction form
    31,778.70/43,853.28 = 18,353.76/x
  3. Step 3: Cross multiply
    31,778.70x = 43,853.28 × 18,353.76
  4. Step 4: Simplify right side
    31,778.70x = 804,872,576.33
  5. Step 5: Solve for x
    x = 804,872,576.33/31,778.70
  6. Step 6: Final answer
    x = 25,327.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.