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Finding the Fourth Proportional to 67,276.56, 100,961.76 and 27,834

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Solution

The fourth proportional to 67,276.56, 100,961.76 and 27,834 is: 41,770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,276.56 : 100,961.76 = 27,834 : x
  2. Step 2: Convert to fraction form
    67,276.56/100,961.76 = 27,834/x
  3. Step 3: Cross multiply
    67,276.56x = 100,961.76 × 27,834
  4. Step 4: Simplify right side
    67,276.56x = 2,810,169,627.84
  5. Step 5: Solve for x
    x = 2,810,169,627.84/67,276.56
  6. Step 6: Final answer
    x = 41,770.41

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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.