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Finding the Fourth Proportional to 31,660.53, 43,690.17 and 17,512.44

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Solution

The fourth proportional to 31,660.53, 43,690.17 and 17,512.44 is: 24,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,660.53 : 43,690.17 = 17,512.44 : x
  2. Step 2: Convert to fraction form
    31,660.53/43,690.17 = 17,512.44/x
  3. Step 3: Cross multiply
    31,660.53x = 43,690.17 × 17,512.44
  4. Step 4: Simplify right side
    31,660.53x = 765,121,480.71
  5. Step 5: Solve for x
    x = 765,121,480.71/31,660.53
  6. Step 6: Final answer
    x = 24,166.41

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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.