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Finding the Fourth Proportional to 31,881.64, 43,996.08 and 17,734.36

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Solution

The fourth proportional to 31,881.64, 43,996.08 and 17,734.36 is: 24,473.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881.64 : 43,996.08 = 17,734.36 : x
  2. Step 2: Convert to fraction form
    31,881.64/43,996.08 = 17,734.36/x
  3. Step 3: Cross multiply
    31,881.64x = 43,996.08 × 17,734.36
  4. Step 4: Simplify right side
    31,881.64x = 780,242,321.31
  5. Step 5: Solve for x
    x = 780,242,321.31/31,881.64
  6. Step 6: Final answer
    x = 24,473.09

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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.