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Finding the Fourth Proportional to 31,706.57, 43,755.03 and 17,559.38

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Solution

The fourth proportional to 31,706.57, 43,755.03 and 17,559.38 is: 24,231.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.57 : 43,755.03 = 17,559.38 : x
  2. Step 2: Convert to fraction form
    31,706.57/43,755.03 = 17,559.38/x
  3. Step 3: Cross multiply
    31,706.57x = 43,755.03 × 17,559.38
  4. Step 4: Simplify right side
    31,706.57x = 768,310,979.91
  5. Step 5: Solve for x
    x = 768,310,979.91/31,706.57
  6. Step 6: Final answer
    x = 24,231.92

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Why These Related Problems?

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