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Finding the Fourth Proportional to 31,797.24, 43,882.18 and 17,650.32

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Solution

The fourth proportional to 31,797.24, 43,882.18 and 17,650.32 is: 24,358.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,797.24 : 43,882.18 = 17,650.32 : x
  2. Step 2: Convert to fraction form
    31,797.24/43,882.18 = 17,650.32/x
  3. Step 3: Cross multiply
    31,797.24x = 43,882.18 × 17,650.32
  4. Step 4: Simplify right side
    31,797.24x = 774,534,519.30
  5. Step 5: Solve for x
    x = 774,534,519.30/31,797.24
  6. Step 6: Final answer
    x = 24,358.55

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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.