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Finding the Fourth Proportional to 31,772.30, 43,851.03 and 17,629.70

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Solution

The fourth proportional to 31,772.30, 43,851.03 and 17,629.70 is: 24,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.30 : 43,851.03 = 17,629.70 : x
  2. Step 2: Convert to fraction form
    31,772.30/43,851.03 = 17,629.70/x
  3. Step 3: Cross multiply
    31,772.30x = 43,851.03 × 17,629.70
  4. Step 4: Simplify right side
    31,772.30x = 773,080,679.33
  5. Step 5: Solve for x
    x = 773,080,679.33/31,772.30
  6. Step 6: Final answer
    x = 24,331.91

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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.