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Finding the Fourth Proportional to 71,704.33, 107,459.57 and 27,306.86

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Solution

The fourth proportional to 71,704.33, 107,459.57 and 27,306.86 is: 40,923.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,704.33 : 107,459.57 = 27,306.86 : x
  2. Step 2: Convert to fraction form
    71,704.33/107,459.57 = 27,306.86/x
  3. Step 3: Cross multiply
    71,704.33x = 107,459.57 × 27,306.86
  4. Step 4: Simplify right side
    71,704.33x = 2,934,383,433.65
  5. Step 5: Solve for x
    x = 2,934,383,433.65/71,704.33
  6. Step 6: Final answer
    x = 40,923.38

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1.5x scale

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.