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Finding the Fourth Proportional to 100,410.14, 150,615.72 and 33,850.84

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Solution

The fourth proportional to 100,410.14, 150,615.72 and 33,850.84 is: 50,776.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.14 : 150,615.72 = 33,850.84 : x
  2. Step 2: Convert to fraction form
    100,410.14/150,615.72 = 33,850.84/x
  3. Step 3: Cross multiply
    100,410.14x = 150,615.72 × 33,850.84
  4. Step 4: Simplify right side
    100,410.14x = 5,098,468,639.20
  5. Step 5: Solve for x
    x = 5,098,468,639.20/100,410.14
  6. Step 6: Final answer
    x = 50,776.43

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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.