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Finding the Fourth Proportional to 100,406.87, 150,610.76 and 33,847.55

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Solution

The fourth proportional to 100,406.87, 150,610.76 and 33,847.55 is: 50,771.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.87 : 150,610.76 = 33,847.55 : x
  2. Step 2: Convert to fraction form
    100,406.87/150,610.76 = 33,847.55/x
  3. Step 3: Cross multiply
    100,406.87x = 150,610.76 × 33,847.55
  4. Step 4: Simplify right side
    100,406.87x = 5,097,805,229.64
  5. Step 5: Solve for x
    x = 5,097,805,229.64/100,406.87
  6. Step 6: Final answer
    x = 50,771.48

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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.