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Finding the Fourth Proportional to 67,285.12, 100,947.12 and 27,834.88

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Solution

The fourth proportional to 67,285.12, 100,947.12 and 27,834.88 is: 41,760.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,285.12 : 100,947.12 = 27,834.88 : x
  2. Step 2: Convert to fraction form
    67,285.12/100,947.12 = 27,834.88/x
  3. Step 3: Cross multiply
    67,285.12x = 100,947.12 × 27,834.88
  4. Step 4: Simplify right side
    67,285.12x = 2,809,850,971.55
  5. Step 5: Solve for x
    x = 2,809,850,971.55/67,285.12
  6. Step 6: Final answer
    x = 41,760.36

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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.