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Finding the Fourth Proportional to 100,391.10, 150,578.46 and 33,829.80

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Solution

The fourth proportional to 100,391.10, 150,578.46 and 33,829.80 is: 50,741.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,391.10 : 150,578.46 = 33,829.80 : x
  2. Step 2: Convert to fraction form
    100,391.10/150,578.46 = 33,829.80/x
  3. Step 3: Cross multiply
    100,391.10x = 150,578.46 × 33,829.80
  4. Step 4: Simplify right side
    100,391.10x = 5,094,039,186.11
  5. Step 5: Solve for x
    x = 5,094,039,186.11/100,391.10
  6. Step 6: Final answer
    x = 50,741.94

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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.