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Finding the Fourth Proportional to 67,294.10, 100,904.70 and 27,855.20

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Solution

The fourth proportional to 67,294.10, 100,904.70 and 27,855.20 is: 41,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,294.10 : 100,904.70 = 27,855.20 : x
  2. Step 2: Convert to fraction form
    67,294.10/100,904.70 = 27,855.20/x
  3. Step 3: Cross multiply
    67,294.10x = 100,904.70 × 27,855.20
  4. Step 4: Simplify right side
    67,294.10x = 2,810,720,599.44
  5. Step 5: Solve for x
    x = 2,810,720,599.44/67,294.10
  6. Step 6: Final answer
    x = 41,767.71

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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.