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Finding the Fourth Proportional to 100,334.25, 150,511.10 and 33,791.13

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Solution

The fourth proportional to 100,334.25, 150,511.10 and 33,791.13 is: 50,689.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,334.25 : 150,511.10 = 33,791.13 : x
  2. Step 2: Convert to fraction form
    100,334.25/150,511.10 = 33,791.13/x
  3. Step 3: Cross multiply
    100,334.25x = 150,511.10 × 33,791.13
  4. Step 4: Simplify right side
    100,334.25x = 5,085,939,977.59
  5. Step 5: Solve for x
    x = 5,085,939,977.59/100,334.25
  6. Step 6: Final answer
    x = 50,689.97

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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.