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Finding the Fourth Proportional to 100,406.13, 150,609.71 and 33,846.83

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Solution

The fourth proportional to 100,406.13, 150,609.71 and 33,846.83 is: 50,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,406.13 : 150,609.71 = 33,846.83 : x
  2. Step 2: Convert to fraction form
    100,406.13/150,609.71 = 33,846.83/x
  3. Step 3: Cross multiply
    100,406.13x = 150,609.71 × 33,846.83
  4. Step 4: Simplify right side
    100,406.13x = 5,097,661,250.72
  5. Step 5: Solve for x
    x = 5,097,661,250.72/100,406.13
  6. Step 6: Final answer
    x = 50,770.42

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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.