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Finding the Fourth Proportional to 31,697.25, 43,742.22 and 17,551.02

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Solution

The fourth proportional to 31,697.25, 43,742.22 and 17,551.02 is: 24,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,697.25 : 43,742.22 = 17,551.02 : x
  2. Step 2: Convert to fraction form
    31,697.25/43,742.22 = 17,551.02/x
  3. Step 3: Cross multiply
    31,697.25x = 43,742.22 × 17,551.02
  4. Step 4: Simplify right side
    31,697.25x = 767,720,578.06
  5. Step 5: Solve for x
    x = 767,720,578.06/31,697.25
  6. Step 6: Final answer
    x = 24,220.42

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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.