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Finding the Fourth Proportional to 100,342.09, 150,493.99 and 50,408.32

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Solution

The fourth proportional to 100,342.09, 150,493.99 and 50,408.32 is: 75,602.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,342.09 : 150,493.99 = 50,408.32 : x
  2. Step 2: Convert to fraction form
    100,342.09/150,493.99 = 50,408.32/x
  3. Step 3: Cross multiply
    100,342.09x = 150,493.99 × 50,408.32
  4. Step 4: Simplify right side
    100,342.09x = 7,586,149,456.21
  5. Step 5: Solve for x
    x = 7,586,149,456.21/100,342.09
  6. Step 6: Final answer
    x = 75,602.87

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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.