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Finding the Fourth Proportional to 50,186.69, 75,273.09 and 27,738.84

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Solution

The fourth proportional to 50,186.69, 75,273.09 and 27,738.84 is: 41,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,186.69 : 75,273.09 = 27,738.84 : x
  2. Step 2: Convert to fraction form
    50,186.69/75,273.09 = 27,738.84/x
  3. Step 3: Cross multiply
    50,186.69x = 75,273.09 × 27,738.84
  4. Step 4: Simplify right side
    50,186.69x = 2,087,988,199.82
  5. Step 5: Solve for x
    x = 2,087,988,199.82/50,186.69
  6. Step 6: Final answer
    x = 41,604.43

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