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Finding the Fourth Proportional to 31,775.88, 43,855.96 and 17,633.28

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Solution

The fourth proportional to 31,775.88, 43,855.96 and 17,633.28 is: 24,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.88 : 43,855.96 = 17,633.28 : x
  2. Step 2: Convert to fraction form
    31,775.88/43,855.96 = 17,633.28/x
  3. Step 3: Cross multiply
    31,775.88x = 43,855.96 × 17,633.28
  4. Step 4: Simplify right side
    31,775.88x = 773,324,422.35
  5. Step 5: Solve for x
    x = 773,324,422.35/31,775.88
  6. Step 6: Final answer
    x = 24,336.84

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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.