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Finding the Fourth Proportional to 33,661.80, 46,414.98 and 27,593

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Solution

The fourth proportional to 33,661.80, 46,414.98 and 27,593 is: 38,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,661.80 : 46,414.98 = 27,593 : x
  2. Step 2: Convert to fraction form
    33,661.80/46,414.98 = 27,593/x
  3. Step 3: Cross multiply
    33,661.80x = 46,414.98 × 27,593
  4. Step 4: Simplify right side
    33,661.80x = 1,280,728,543.14
  5. Step 5: Solve for x
    x = 1,280,728,543.14/33,661.80
  6. Step 6: Final answer
    x = 38,046.94

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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.