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Finding the Fourth Proportional to 67,208.28, 100,857.72 and 27,765.22

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Solution

The fourth proportional to 67,208.28, 100,857.72 and 27,765.22 is: 41,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,208.28 : 100,857.72 = 27,765.22 : x
  2. Step 2: Convert to fraction form
    67,208.28/100,857.72 = 27,765.22/x
  3. Step 3: Cross multiply
    67,208.28x = 100,857.72 × 27,765.22
  4. Step 4: Simplify right side
    67,208.28x = 2,800,336,784.50
  5. Step 5: Solve for x
    x = 2,800,336,784.50/67,208.28
  6. Step 6: Final answer
    x = 41,666.54

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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.