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Finding the Fourth Proportional to 100,385.72, 150,574.25 and 33,825.59

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Solution

The fourth proportional to 100,385.72, 150,574.25 and 33,825.59 is: 50,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,385.72 : 150,574.25 = 33,825.59 : x
  2. Step 2: Convert to fraction form
    100,385.72/150,574.25 = 33,825.59/x
  3. Step 3: Cross multiply
    100,385.72x = 150,574.25 × 33,825.59
  4. Step 4: Simplify right side
    100,385.72x = 5,093,261,923.06
  5. Step 5: Solve for x
    x = 5,093,261,923.06/100,385.72
  6. Step 6: Final answer
    x = 50,736.92

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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.