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Finding the Fourth Proportional to 67,309.20, 100,955.76 and 27,861.60

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Solution

The fourth proportional to 67,309.20, 100,955.76 and 27,861.60 is: 41,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,309.20 : 100,955.76 = 27,861.60 : x
  2. Step 2: Convert to fraction form
    67,309.20/100,955.76 = 27,861.60/x
  3. Step 3: Cross multiply
    67,309.20x = 100,955.76 × 27,861.60
  4. Step 4: Simplify right side
    67,309.20x = 2,812,789,002.82
  5. Step 5: Solve for x
    x = 2,812,789,002.82/67,309.20
  6. Step 6: Final answer
    x = 41,789.07

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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.