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Finding the Fourth Proportional to 100,076.41, 150,078.23 and 33,500.72

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Solution

The fourth proportional to 100,076.41, 150,078.23 and 33,500.72 is: 50,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,076.41 : 150,078.23 = 33,500.72 : x
  2. Step 2: Convert to fraction form
    100,076.41/150,078.23 = 33,500.72/x
  3. Step 3: Cross multiply
    100,076.41x = 150,078.23 × 33,500.72
  4. Step 4: Simplify right side
    100,076.41x = 5,027,729,283.09
  5. Step 5: Solve for x
    x = 5,027,729,283.09/100,076.41
  6. Step 6: Final answer
    x = 50,238.90

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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.