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Finding the Fourth Proportional to 100,014.94, 150,024.23 and 33,455.42

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Solution

The fourth proportional to 100,014.94, 150,024.23 and 33,455.42 is: 50,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,014.94 : 150,024.23 = 33,455.42 : x
  2. Step 2: Convert to fraction form
    100,014.94/150,024.23 = 33,455.42/x
  3. Step 3: Cross multiply
    100,014.94x = 150,024.23 × 33,455.42
  4. Step 4: Simplify right side
    100,014.94x = 5,019,123,624.83
  5. Step 5: Solve for x
    x = 5,019,123,624.83/100,014.94
  6. Step 6: Final answer
    x = 50,183.74

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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.