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Finding the Fourth Proportional to 100,264.40, 150,391.07 and 33,697.66

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Solution

The fourth proportional to 100,264.40, 150,391.07 and 33,697.66 is: 50,544.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,264.40 : 150,391.07 = 33,697.66 : x
  2. Step 2: Convert to fraction form
    100,264.40/150,391.07 = 33,697.66/x
  3. Step 3: Cross multiply
    100,264.40x = 150,391.07 × 33,697.66
  4. Step 4: Simplify right side
    100,264.40x = 5,067,826,223.45
  5. Step 5: Solve for x
    x = 5,067,826,223.45/100,264.40
  6. Step 6: Final answer
    x = 50,544.62

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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.