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Finding the Fourth Proportional to 33,517.26, 46,255.95 and 20,089.14

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Solution

The fourth proportional to 33,517.26, 46,255.95 and 20,089.14 is: 27,724.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,517.26 : 46,255.95 = 20,089.14 : x
  2. Step 2: Convert to fraction form
    33,517.26/46,255.95 = 20,089.14/x
  3. Step 3: Cross multiply
    33,517.26x = 46,255.95 × 20,089.14
  4. Step 4: Simplify right side
    33,517.26x = 929,242,255.38
  5. Step 5: Solve for x
    x = 929,242,255.38/33,517.26
  6. Step 6: Final answer
    x = 27,724.29

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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.