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Finding the Fourth Proportional to 33,092.77, 49,663.77 and 13,371.50

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Solution

The fourth proportional to 33,092.77, 49,663.77 and 13,371.50 is: 20,067.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,092.77 : 49,663.77 = 13,371.50 : x
  2. Step 2: Convert to fraction form
    33,092.77/49,663.77 = 13,371.50/x
  3. Step 3: Cross multiply
    33,092.77x = 49,663.77 × 13,371.50
  4. Step 4: Simplify right side
    33,092.77x = 664,078,785.38
  5. Step 5: Solve for x
    x = 664,078,785.38/33,092.77
  6. Step 6: Final answer
    x = 20,067.19

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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.