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Finding the Fourth Proportional to 33,782.29, 50,680.68 and 10,091.70

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Solution

The fourth proportional to 33,782.29, 50,680.68 and 10,091.70 is: 15,139.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,782.29 : 50,680.68 = 10,091.70 : x
  2. Step 2: Convert to fraction form
    33,782.29/50,680.68 = 10,091.70/x
  3. Step 3: Cross multiply
    33,782.29x = 50,680.68 × 10,091.70
  4. Step 4: Simplify right side
    33,782.29x = 511,454,218.36
  5. Step 5: Solve for x
    x = 511,454,218.36/33,782.29
  6. Step 6: Final answer
    x = 15,139.71

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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.