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Finding the Fourth Proportional to 31,665.75, 43,694.96 and 17,516.67

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Solution

The fourth proportional to 31,665.75, 43,694.96 and 17,516.67 is: 24,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665.75 : 43,694.96 = 17,516.67 : x
  2. Step 2: Convert to fraction form
    31,665.75/43,694.96 = 17,516.67/x
  3. Step 3: Cross multiply
    31,665.75x = 43,694.96 × 17,516.67
  4. Step 4: Simplify right side
    31,665.75x = 765,390,107.40
  5. Step 5: Solve for x
    x = 765,390,107.40/31,665.75
  6. Step 6: Final answer
    x = 24,170.91

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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.