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Finding the Fourth Proportional to 31,708.94, 43,757.80 and 17,561.48

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Solution

The fourth proportional to 31,708.94, 43,757.80 and 17,561.48 is: 24,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.94 : 43,757.80 = 17,561.48 : x
  2. Step 2: Convert to fraction form
    31,708.94/43,757.80 = 17,561.48/x
  3. Step 3: Cross multiply
    31,708.94x = 43,757.80 × 17,561.48
  4. Step 4: Simplify right side
    31,708.94x = 768,451,576.25
  5. Step 5: Solve for x
    x = 768,451,576.25/31,708.94
  6. Step 6: Final answer
    x = 24,234.54

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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.