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Finding the Fourth Proportional to 50,378.42, 69,522.22 and 27,716.93

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Solution

The fourth proportional to 50,378.42, 69,522.22 and 27,716.93 is: 38,249.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,378.42 : 69,522.22 = 27,716.93 : x
  2. Step 2: Convert to fraction form
    50,378.42/69,522.22 = 27,716.93/x
  3. Step 3: Cross multiply
    50,378.42x = 69,522.22 × 27,716.93
  4. Step 4: Simplify right side
    50,378.42x = 1,926,942,921.94
  5. Step 5: Solve for x
    x = 1,926,942,921.94/50,378.42
  6. Step 6: Final answer
    x = 38,249.37

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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.