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Finding the Fourth Proportional to 57,197.97, 85,855.02 and 27,640.65

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Solution

The fourth proportional to 57,197.97, 85,855.02 and 27,640.65 is: 41,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197.97 : 85,855.02 = 27,640.65 : x
  2. Step 2: Convert to fraction form
    57,197.97/85,855.02 = 27,640.65/x
  3. Step 3: Cross multiply
    57,197.97x = 85,855.02 × 27,640.65
  4. Step 4: Simplify right side
    57,197.97x = 2,373,088,558.56
  5. Step 5: Solve for x
    x = 2,373,088,558.56/57,197.97
  6. Step 6: Final answer
    x = 41,489.03

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Why These Related Problems?

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