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Finding the Fourth Proportional to 31,697.26, 43,742.20 and 17,551

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Solution

The fourth proportional to 31,697.26, 43,742.20 and 17,551 is: 24,220.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.26 : 43,742.20 = 17,551 : x
  2. Step 2: Convert to fraction form
    31,697.26/43,742.20 = 17,551/x
  3. Step 3: Cross multiply
    31,697.26x = 43,742.20 × 17,551
  4. Step 4: Simplify right side
    31,697.26x = 767,719,352.20
  5. Step 5: Solve for x
    x = 767,719,352.20/31,697.26
  6. Step 6: Final answer
    x = 24,220.37

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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.