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Finding the Fourth Proportional to 100,013.94, 150,022.73 and 33,454.42

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Solution

The fourth proportional to 100,013.94, 150,022.73 and 33,454.42 is: 50,182.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,013.94 : 150,022.73 = 33,454.42 : x
  2. Step 2: Convert to fraction form
    100,013.94/150,022.73 = 33,454.42/x
  3. Step 3: Cross multiply
    100,013.94x = 150,022.73 × 33,454.42
  4. Step 4: Simplify right side
    100,013.94x = 5,018,923,127.55
  5. Step 5: Solve for x
    x = 5,018,923,127.55/100,013.94
  6. Step 6: Final answer
    x = 50,182.24

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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.