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Finding the Fourth Proportional to 38,540.64, 57,797.16 and 16,355.56

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Solution

The fourth proportional to 38,540.64, 57,797.16 and 16,355.56 is: 24,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.64 : 57,797.16 = 16,355.56 : x
  2. Step 2: Convert to fraction form
    38,540.64/57,797.16 = 16,355.56/x
  3. Step 3: Cross multiply
    38,540.64x = 57,797.16 × 16,355.56
  4. Step 4: Simplify right side
    38,540.64x = 945,304,918.21
  5. Step 5: Solve for x
    x = 945,304,918.21/38,540.64
  6. Step 6: Final answer
    x = 24,527.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.