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Finding the Fourth Proportional to 37,757.28, 51,986.16 and 32,080.80

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Solution

The fourth proportional to 37,757.28, 51,986.16 and 32,080.80 is: 44,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,757.28 : 51,986.16 = 32,080.80 : x
  2. Step 2: Convert to fraction form
    37,757.28/51,986.16 = 32,080.80/x
  3. Step 3: Cross multiply
    37,757.28x = 51,986.16 × 32,080.80
  4. Step 4: Simplify right side
    37,757.28x = 1,667,757,601.73
  5. Step 5: Solve for x
    x = 1,667,757,601.73/37,757.28
  6. Step 6: Final answer
    x = 44,170.49

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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.