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Finding the Fourth Proportional to 67,240.80, 100,861.20 and 27,784.80

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Solution

The fourth proportional to 67,240.80, 100,861.20 and 27,784.80 is: 41,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,240.80 : 100,861.20 = 27,784.80 : x
  2. Step 2: Convert to fraction form
    67,240.80/100,861.20 = 27,784.80/x
  3. Step 3: Cross multiply
    67,240.80x = 100,861.20 × 27,784.80
  4. Step 4: Simplify right side
    67,240.80x = 2,802,408,269.76
  5. Step 5: Solve for x
    x = 2,802,408,269.76/67,240.80
  6. Step 6: Final answer
    x = 41,677.20

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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.