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Finding the Fourth Proportional to 39,206.46, 54,092.99 and 22,208

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Solution

The fourth proportional to 39,206.46, 54,092.99 and 22,208 is: 30,640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,206.46 : 54,092.99 = 22,208 : x
  2. Step 2: Convert to fraction form
    39,206.46/54,092.99 = 22,208/x
  3. Step 3: Cross multiply
    39,206.46x = 54,092.99 × 22,208
  4. Step 4: Simplify right side
    39,206.46x = 1,201,297,121.92
  5. Step 5: Solve for x
    x = 1,201,297,121.92/39,206.46
  6. Step 6: Final answer
    x = 30,640.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.