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Finding the Fourth Proportional to 36,805, 50,791.98 and 20,039.08

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Solution

The fourth proportional to 36,805, 50,791.98 and 20,039.08 is: 27,654.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,805 : 50,791.98 = 20,039.08 : x
  2. Step 2: Convert to fraction form
    36,805/50,791.98 = 20,039.08/x
  3. Step 3: Cross multiply
    36,805x = 50,791.98 × 20,039.08
  4. Step 4: Simplify right side
    36,805x = 1,017,824,550.58
  5. Step 5: Solve for x
    x = 1,017,824,550.58/36,805
  6. Step 6: Final answer
    x = 27,654.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.