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Finding the Fourth Proportional to 100,078.10, 150,080.75 and 33,502.41

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Solution

The fourth proportional to 100,078.10, 150,080.75 and 33,502.41 is: 50,241.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,078.10 : 150,080.75 = 33,502.41 : x
  2. Step 2: Convert to fraction form
    100,078.10/150,080.75 = 33,502.41/x
  3. Step 3: Cross multiply
    100,078.10x = 150,080.75 × 33,502.41
  4. Step 4: Simplify right side
    100,078.10x = 5,028,066,777.73
  5. Step 5: Solve for x
    x = 5,028,066,777.73/100,078.10
  6. Step 6: Final answer
    x = 50,241.43

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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.