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Finding the Fourth Proportional to 100,229.32, 150,361.35 and 33,675.94

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Solution

The fourth proportional to 100,229.32, 150,361.35 and 33,675.94 is: 50,519.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,229.32 : 150,361.35 = 33,675.94 : x
  2. Step 2: Convert to fraction form
    100,229.32/150,361.35 = 33,675.94/x
  3. Step 3: Cross multiply
    100,229.32x = 150,361.35 × 33,675.94
  4. Step 4: Simplify right side
    100,229.32x = 5,063,559,800.92
  5. Step 5: Solve for x
    x = 5,063,559,800.92/100,229.32
  6. Step 6: Final answer
    x = 50,519.75

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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.