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Finding the Fourth Proportional to 67,250, 100,865.92 and 27,801.64

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Solution

The fourth proportional to 67,250, 100,865.92 and 27,801.64 is: 41,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,250 : 100,865.92 = 27,801.64 : x
  2. Step 2: Convert to fraction form
    67,250/100,865.92 = 27,801.64/x
  3. Step 3: Cross multiply
    67,250x = 100,865.92 × 27,801.64
  4. Step 4: Simplify right side
    67,250x = 2,804,237,996.11
  5. Step 5: Solve for x
    x = 2,804,237,996.11/67,250
  6. Step 6: Final answer
    x = 41,698.71

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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.