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Finding the Fourth Proportional to 33,679.80, 46,470.24 and 20,248.92

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Solution

The fourth proportional to 33,679.80, 46,470.24 and 20,248.92 is: 27,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,679.80 : 46,470.24 = 20,248.92 : x
  2. Step 2: Convert to fraction form
    33,679.80/46,470.24 = 20,248.92/x
  3. Step 3: Cross multiply
    33,679.80x = 46,470.24 × 20,248.92
  4. Step 4: Simplify right side
    33,679.80x = 940,972,172.14
  5. Step 5: Solve for x
    x = 940,972,172.14/33,679.80
  6. Step 6: Final answer
    x = 27,938.77

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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.