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Finding the Fourth Proportional to 33,049.12, 45,593.44 and 18,896.80

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Solution

The fourth proportional to 33,049.12, 45,593.44 and 18,896.80 is: 26,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.12 : 45,593.44 = 18,896.80 : x
  2. Step 2: Convert to fraction form
    33,049.12/45,593.44 = 18,896.80/x
  3. Step 3: Cross multiply
    33,049.12x = 45,593.44 × 18,896.80
  4. Step 4: Simplify right side
    33,049.12x = 861,570,116.99
  5. Step 5: Solve for x
    x = 861,570,116.99/33,049.12
  6. Step 6: Final answer
    x = 26,069.38

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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.