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Finding the Fourth Proportional to 67,226, 100,855.68 and 27,794.48

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Solution

The fourth proportional to 67,226, 100,855.68 and 27,794.48 is: 41,698.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,226 : 100,855.68 = 27,794.48 : x
  2. Step 2: Convert to fraction form
    67,226/100,855.68 = 27,794.48/x
  3. Step 3: Cross multiply
    67,226x = 100,855.68 × 27,794.48
  4. Step 4: Simplify right side
    67,226x = 2,803,231,180.65
  5. Step 5: Solve for x
    x = 2,803,231,180.65/67,226
  6. Step 6: Final answer
    x = 41,698.62

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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.