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Finding the Fourth Proportional to 31,969.68, 44,089.56 and 20,034.32

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Solution

The fourth proportional to 31,969.68, 44,089.56 and 20,034.32 is: 27,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,969.68 : 44,089.56 = 20,034.32 : x
  2. Step 2: Convert to fraction form
    31,969.68/44,089.56 = 20,034.32/x
  3. Step 3: Cross multiply
    31,969.68x = 44,089.56 × 20,034.32
  4. Step 4: Simplify right side
    31,969.68x = 883,304,353.70
  5. Step 5: Solve for x
    x = 883,304,353.70/31,969.68
  6. Step 6: Final answer
    x = 27,629.44

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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.