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Finding the Fourth Proportional to 27,834, 41,751.80 and 8,112.12

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Solution

The fourth proportional to 27,834, 41,751.80 and 8,112.12 is: 12,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,834 : 41,751.80 = 8,112.12 : x
  2. Step 2: Convert to fraction form
    27,834/41,751.80 = 8,112.12/x
  3. Step 3: Cross multiply
    27,834x = 41,751.80 × 8,112.12
  4. Step 4: Simplify right side
    27,834x = 338,695,611.82
  5. Step 5: Solve for x
    x = 338,695,611.82/27,834
  6. Step 6: Final answer
    x = 12,168.41

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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.