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Finding the Fourth Proportional to 100,003.61, 150,024.10 and 33,444.09

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Solution

The fourth proportional to 100,003.61, 150,024.10 and 33,444.09 is: 50,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,003.61 : 150,024.10 = 33,444.09 : x
  2. Step 2: Convert to fraction form
    100,003.61/150,024.10 = 33,444.09/x
  3. Step 3: Cross multiply
    100,003.61x = 150,024.10 × 33,444.09
  4. Step 4: Simplify right side
    100,003.61x = 5,017,419,481.67
  5. Step 5: Solve for x
    x = 5,017,419,481.67/100,003.61
  6. Step 6: Final answer
    x = 50,172.38

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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.