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Finding the Fourth Proportional to 31,843.44, 43,942.60 and 17,697.16

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Solution

The fourth proportional to 31,843.44, 43,942.60 and 17,697.16 is: 24,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,843.44 : 43,942.60 = 17,697.16 : x
  2. Step 2: Convert to fraction form
    31,843.44/43,942.60 = 17,697.16/x
  3. Step 3: Cross multiply
    31,843.44x = 43,942.60 × 17,697.16
  4. Step 4: Simplify right side
    31,843.44x = 777,659,223.02
  5. Step 5: Solve for x
    x = 777,659,223.02/31,843.44
  6. Step 6: Final answer
    x = 24,421.33

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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.