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Finding the Fourth Proportional to 33,233.36, 49,850.34 and 9,859.80

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Solution

The fourth proportional to 33,233.36, 49,850.34 and 9,859.80 is: 14,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,233.36 : 49,850.34 = 9,859.80 : x
  2. Step 2: Convert to fraction form
    33,233.36/49,850.34 = 9,859.80/x
  3. Step 3: Cross multiply
    33,233.36x = 49,850.34 × 9,859.80
  4. Step 4: Simplify right side
    33,233.36x = 491,514,382.33
  5. Step 5: Solve for x
    x = 491,514,382.33/33,233.36
  6. Step 6: Final answer
    x = 14,789.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.