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Finding the Fourth Proportional to 100,370.64, 150,556.25 and 33,857.49

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Solution

The fourth proportional to 100,370.64, 150,556.25 and 33,857.49 is: 50,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,370.64 : 150,556.25 = 33,857.49 : x
  2. Step 2: Convert to fraction form
    100,370.64/150,556.25 = 33,857.49/x
  3. Step 3: Cross multiply
    100,370.64x = 150,556.25 × 33,857.49
  4. Step 4: Simplify right side
    100,370.64x = 5,097,456,728.81
  5. Step 5: Solve for x
    x = 5,097,456,728.81/100,370.64
  6. Step 6: Final answer
    x = 50,786.33

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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.