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Finding the Fourth Proportional to 100,264.84, 150,391.72 and 33,698.09

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Solution

The fourth proportional to 100,264.84, 150,391.72 and 33,698.09 is: 50,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,264.84 : 150,391.72 = 33,698.09 : x
  2. Step 2: Convert to fraction form
    100,264.84/150,391.72 = 33,698.09/x
  3. Step 3: Cross multiply
    100,264.84x = 150,391.72 × 33,698.09
  4. Step 4: Simplify right side
    100,264.84x = 5,067,914,133.92
  5. Step 5: Solve for x
    x = 5,067,914,133.92/100,264.84
  6. Step 6: Final answer
    x = 50,545.28

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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.