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Finding the Fourth Proportional to 31,744.27, 43,805.10 and 17,596

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Solution

The fourth proportional to 31,744.27, 43,805.10 and 17,596 is: 24,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.27 : 43,805.10 = 17,596 : x
  2. Step 2: Convert to fraction form
    31,744.27/43,805.10 = 17,596/x
  3. Step 3: Cross multiply
    31,744.27x = 43,805.10 × 17,596
  4. Step 4: Simplify right side
    31,744.27x = 770,794,539.60
  5. Step 5: Solve for x
    x = 770,794,539.60/31,744.27
  6. Step 6: Final answer
    x = 24,281.38

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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.