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Finding the Fourth Proportional to 66,585.12, 99,791.52 and 27,096

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Solution

The fourth proportional to 66,585.12, 99,791.52 and 27,096 is: 40,608.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,585.12 : 99,791.52 = 27,096 : x
  2. Step 2: Convert to fraction form
    66,585.12/99,791.52 = 27,096/x
  3. Step 3: Cross multiply
    66,585.12x = 99,791.52 × 27,096
  4. Step 4: Simplify right side
    66,585.12x = 2,703,951,025.92
  5. Step 5: Solve for x
    x = 2,703,951,025.92/66,585.12
  6. Step 6: Final answer
    x = 40,608.94

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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.