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Finding the Fourth Proportional to 100,207.37, 150,318.95 and 33,647.24

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Solution

The fourth proportional to 100,207.37, 150,318.95 and 33,647.24 is: 50,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,207.37 : 150,318.95 = 33,647.24 : x
  2. Step 2: Convert to fraction form
    100,207.37/150,318.95 = 33,647.24/x
  3. Step 3: Cross multiply
    100,207.37x = 150,318.95 × 33,647.24
  4. Step 4: Simplify right side
    100,207.37x = 5,057,816,867.37
  5. Step 5: Solve for x
    x = 5,057,816,867.37/100,207.37
  6. Step 6: Final answer
    x = 50,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.