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Finding the Fourth Proportional to 27,834.94, 41,744.20 and 8,107.29

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Solution

The fourth proportional to 27,834.94, 41,744.20 and 8,107.29 is: 12,158.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834.94 : 41,744.20 = 8,107.29 : x
  2. Step 2: Convert to fraction form
    27,834.94/41,744.20 = 8,107.29/x
  3. Step 3: Cross multiply
    27,834.94x = 41,744.20 × 8,107.29
  4. Step 4: Simplify right side
    27,834.94x = 338,432,126.50
  5. Step 5: Solve for x
    x = 338,432,126.50/27,834.94
  6. Step 6: Final answer
    x = 12,158.54

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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.