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Finding the Fourth Proportional to 31,615.34, 43,630.04 and 17,469.09

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Solution

The fourth proportional to 31,615.34, 43,630.04 and 17,469.09 is: 24,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.34 : 43,630.04 = 17,469.09 : x
  2. Step 2: Convert to fraction form
    31,615.34/43,630.04 = 17,469.09/x
  3. Step 3: Cross multiply
    31,615.34x = 43,630.04 × 17,469.09
  4. Step 4: Simplify right side
    31,615.34x = 762,177,139.14
  5. Step 5: Solve for x
    x = 762,177,139.14/31,615.34
  6. Step 6: Final answer
    x = 24,107.83

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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.