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Finding the Fourth Proportional to 100,385.44, 150,592.05 and 33,844.60

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Solution

The fourth proportional to 100,385.44, 150,592.05 and 33,844.60 is: 50,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,385.44 : 150,592.05 = 33,844.60 : x
  2. Step 2: Convert to fraction form
    100,385.44/150,592.05 = 33,844.60/x
  3. Step 3: Cross multiply
    100,385.44x = 150,592.05 × 33,844.60
  4. Step 4: Simplify right side
    100,385.44x = 5,096,727,100.05
  5. Step 5: Solve for x
    x = 5,096,727,100.05/100,385.44
  6. Step 6: Final answer
    x = 50,771.58

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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.