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Finding the Fourth Proportional to 69,882.49, 104,866.71 and 27,755.20

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Solution

The fourth proportional to 69,882.49, 104,866.71 and 27,755.20 is: 41,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,882.49 : 104,866.71 = 27,755.20 : x
  2. Step 2: Convert to fraction form
    69,882.49/104,866.71 = 27,755.20/x
  3. Step 3: Cross multiply
    69,882.49x = 104,866.71 × 27,755.20
  4. Step 4: Simplify right side
    69,882.49x = 2,910,596,509.39
  5. Step 5: Solve for x
    x = 2,910,596,509.39/69,882.49
  6. Step 6: Final answer
    x = 41,649.87

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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.