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Finding the Fourth Proportional to 100,406.88, 150,610.83 and 33,847.59

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Solution

The fourth proportional to 100,406.88, 150,610.83 and 33,847.59 is: 50,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.88 : 150,610.83 = 33,847.59 : x
  2. Step 2: Convert to fraction form
    100,406.88/150,610.83 = 33,847.59/x
  3. Step 3: Cross multiply
    100,406.88x = 150,610.83 × 33,847.59
  4. Step 4: Simplify right side
    100,406.88x = 5,097,813,623.40
  5. Step 5: Solve for x
    x = 5,097,813,623.40/100,406.88
  6. Step 6: Final answer
    x = 50,771.56

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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.