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Finding the Fourth Proportional to 33,797.80, 50,623.80 and 27,965.80

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Solution

The fourth proportional to 33,797.80, 50,623.80 and 27,965.80 is: 41,888.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,797.80 : 50,623.80 = 27,965.80 : x
  2. Step 2: Convert to fraction form
    33,797.80/50,623.80 = 27,965.80/x
  3. Step 3: Cross multiply
    33,797.80x = 50,623.80 × 27,965.80
  4. Step 4: Simplify right side
    33,797.80x = 1,415,735,066.04
  5. Step 5: Solve for x
    x = 1,415,735,066.04/33,797.80
  6. Step 6: Final answer
    x = 41,888.38

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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.