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Finding the Fourth Proportional to 69,204.25, 103,796.97 and 27,055

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Solution

The fourth proportional to 69,204.25, 103,796.97 and 27,055 is: 40,578.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,204.25 : 103,796.97 = 27,055 : x
  2. Step 2: Convert to fraction form
    69,204.25/103,796.97 = 27,055/x
  3. Step 3: Cross multiply
    69,204.25x = 103,796.97 × 27,055
  4. Step 4: Simplify right side
    69,204.25x = 2,808,227,023.35
  5. Step 5: Solve for x
    x = 2,808,227,023.35/69,204.25
  6. Step 6: Final answer
    x = 40,578.82

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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.