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Finding the Fourth Proportional to 50,027, 69,039.42 and 27,671

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Solution

The fourth proportional to 50,027, 69,039.42 and 27,671 is: 38,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,027 : 69,039.42 = 27,671 : x
  2. Step 2: Convert to fraction form
    50,027/69,039.42 = 27,671/x
  3. Step 3: Cross multiply
    50,027x = 69,039.42 × 27,671
  4. Step 4: Simplify right side
    50,027x = 1,910,389,790.82
  5. Step 5: Solve for x
    x = 1,910,389,790.82/50,027
  6. Step 6: Final answer
    x = 38,187.17

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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.