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Finding the Fourth Proportional to 31,757.20, 43,825.20 and 17,610.24

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Solution

The fourth proportional to 31,757.20, 43,825.20 and 17,610.24 is: 24,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.20 : 43,825.20 = 17,610.24 : x
  2. Step 2: Convert to fraction form
    31,757.20/43,825.20 = 17,610.24/x
  3. Step 3: Cross multiply
    31,757.20x = 43,825.20 × 17,610.24
  4. Step 4: Simplify right side
    31,757.20x = 771,772,290.05
  5. Step 5: Solve for x
    x = 771,772,290.05/31,757.20
  6. Step 6: Final answer
    x = 24,302.28

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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.