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Finding the Fourth Proportional to 100,175.70, 150,258.42 and 33,616.38

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Solution

The fourth proportional to 100,175.70, 150,258.42 and 33,616.38 is: 50,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,175.70 : 150,258.42 = 33,616.38 : x
  2. Step 2: Convert to fraction form
    100,175.70/150,258.42 = 33,616.38/x
  3. Step 3: Cross multiply
    100,175.70x = 150,258.42 × 33,616.38
  4. Step 4: Simplify right side
    100,175.70x = 5,051,144,144.92
  5. Step 5: Solve for x
    x = 5,051,144,144.92/100,175.70
  6. Step 6: Final answer
    x = 50,422.85

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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.