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Finding the Fourth Proportional to 33,698.14, 50,578.24 and 17,069.75

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Solution

The fourth proportional to 33,698.14, 50,578.24 and 17,069.75 is: 25,620.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,698.14 : 50,578.24 = 17,069.75 : x
  2. Step 2: Convert to fraction form
    33,698.14/50,578.24 = 17,069.75/x
  3. Step 3: Cross multiply
    33,698.14x = 50,578.24 × 17,069.75
  4. Step 4: Simplify right side
    33,698.14x = 863,357,616.67
  5. Step 5: Solve for x
    x = 863,357,616.67/33,698.14
  6. Step 6: Final answer
    x = 25,620.34

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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.