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Finding the Fourth Proportional to 100,231.32, 150,364.35 and 33,677.94

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Solution

The fourth proportional to 100,231.32, 150,364.35 and 33,677.94 is: 50,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,231.32 : 150,364.35 = 33,677.94 : x
  2. Step 2: Convert to fraction form
    100,231.32/150,364.35 = 33,677.94/x
  3. Step 3: Cross multiply
    100,231.32x = 150,364.35 × 33,677.94
  4. Step 4: Simplify right side
    100,231.32x = 5,063,961,557.44
  5. Step 5: Solve for x
    x = 5,063,961,557.44/100,231.32
  6. Step 6: Final answer
    x = 50,522.75

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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.