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Finding the Fourth Proportional to 32,633.44, 45,034.24 and 17,729.44

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Solution

The fourth proportional to 32,633.44, 45,034.24 and 17,729.44 is: 24,466.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,633.44 : 45,034.24 = 17,729.44 : x
  2. Step 2: Convert to fraction form
    32,633.44/45,034.24 = 17,729.44/x
  3. Step 3: Cross multiply
    32,633.44x = 45,034.24 × 17,729.44
  4. Step 4: Simplify right side
    32,633.44x = 798,431,856.03
  5. Step 5: Solve for x
    x = 798,431,856.03/32,633.44
  6. Step 6: Final answer
    x = 24,466.68

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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.