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Finding the Fourth Proportional to 31,757.64, 43,822.44 and 17,610.24

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Solution

The fourth proportional to 31,757.64, 43,822.44 and 17,610.24 is: 24,300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757.64 : 43,822.44 = 17,610.24 : x
  2. Step 2: Convert to fraction form
    31,757.64/43,822.44 = 17,610.24/x
  3. Step 3: Cross multiply
    31,757.64x = 43,822.44 × 17,610.24
  4. Step 4: Simplify right side
    31,757.64x = 771,723,685.79
  5. Step 5: Solve for x
    x = 771,723,685.79/31,757.64
  6. Step 6: Final answer
    x = 24,300.41

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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.