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Finding the Fourth Proportional to 50,591.80, 69,816.29 and 27,930.77

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Solution

The fourth proportional to 50,591.80, 69,816.29 and 27,930.77 is: 38,544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,591.80 : 69,816.29 = 27,930.77 : x
  2. Step 2: Convert to fraction form
    50,591.80/69,816.29 = 27,930.77/x
  3. Step 3: Cross multiply
    50,591.80x = 69,816.29 × 27,930.77
  4. Step 4: Simplify right side
    50,591.80x = 1,950,022,249.51
  5. Step 5: Solve for x
    x = 1,950,022,249.51/50,591.80
  6. Step 6: Final answer
    x = 38,544.24

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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.