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Finding the Fourth Proportional to 33,507.70, 50,220.02 and 18,727

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Solution

The fourth proportional to 33,507.70, 50,220.02 and 18,727 is: 28,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,507.70 : 50,220.02 = 18,727 : x
  2. Step 2: Convert to fraction form
    33,507.70/50,220.02 = 18,727/x
  3. Step 3: Cross multiply
    33,507.70x = 50,220.02 × 18,727
  4. Step 4: Simplify right side
    33,507.70x = 940,470,314.54
  5. Step 5: Solve for x
    x = 940,470,314.54/33,507.70
  6. Step 6: Final answer
    x = 28,067.29

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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.