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Finding the Fourth Proportional to 57,372.50, 85,934.12 and 27,728.16

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Solution

The fourth proportional to 57,372.50, 85,934.12 and 27,728.16 is: 41,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,372.50 : 85,934.12 = 27,728.16 : x
  2. Step 2: Convert to fraction form
    57,372.50/85,934.12 = 27,728.16/x
  3. Step 3: Cross multiply
    57,372.50x = 85,934.12 × 27,728.16
  4. Step 4: Simplify right side
    57,372.50x = 2,382,794,567.93
  5. Step 5: Solve for x
    x = 2,382,794,567.93/57,372.50
  6. Step 6: Final answer
    x = 41,532.00

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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.