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Finding the Fourth Proportional to 33,029.60, 49,546.02 and 13,305.48

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Solution

The fourth proportional to 33,029.60, 49,546.02 and 13,305.48 is: 19,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,029.60 : 49,546.02 = 13,305.48 : x
  2. Step 2: Convert to fraction form
    33,029.60/49,546.02 = 13,305.48/x
  3. Step 3: Cross multiply
    33,029.60x = 49,546.02 × 13,305.48
  4. Step 4: Simplify right side
    33,029.60x = 659,233,578.19
  5. Step 5: Solve for x
    x = 659,233,578.19/33,029.60
  6. Step 6: Final answer
    x = 19,958.87

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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.