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Finding the Fourth Proportional to 31,744.26, 43,806.60 and 17,596.80

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Solution

The fourth proportional to 31,744.26, 43,806.60 and 17,596.80 is: 24,283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744.26 : 43,806.60 = 17,596.80 : x
  2. Step 2: Convert to fraction form
    31,744.26/43,806.60 = 17,596.80/x
  3. Step 3: Cross multiply
    31,744.26x = 43,806.60 × 17,596.80
  4. Step 4: Simplify right side
    31,744.26x = 770,855,978.88
  5. Step 5: Solve for x
    x = 770,855,978.88/31,744.26
  6. Step 6: Final answer
    x = 24,283.32

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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.