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Finding the Fourth Proportional to 100,424.92, 150,599.40 and 33,847.24

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Solution

The fourth proportional to 100,424.92, 150,599.40 and 33,847.24 is: 50,758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,424.92 : 150,599.40 = 33,847.24 : x
  2. Step 2: Convert to fraction form
    100,424.92/150,599.40 = 33,847.24/x
  3. Step 3: Cross multiply
    100,424.92x = 150,599.40 × 33,847.24
  4. Step 4: Simplify right side
    100,424.92x = 5,097,374,035.66
  5. Step 5: Solve for x
    x = 5,097,374,035.66/100,424.92
  6. Step 6: Final answer
    x = 50,758.06

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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.