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Finding the Fourth Proportional to 100,200.80, 150,318.51 and 33,647.35

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Solution

The fourth proportional to 100,200.80, 150,318.51 and 33,647.35 is: 50,476.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.80 : 150,318.51 = 33,647.35 : x
  2. Step 2: Convert to fraction form
    100,200.80/150,318.51 = 33,647.35/x
  3. Step 3: Cross multiply
    100,200.80x = 150,318.51 × 33,647.35
  4. Step 4: Simplify right side
    100,200.80x = 5,057,819,517.45
  5. Step 5: Solve for x
    x = 5,057,819,517.45/100,200.80
  6. Step 6: Final answer
    x = 50,476.84

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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.