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Finding the Fourth Proportional to 50,545.73, 69,751.99 and 27,884.75

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Solution

The fourth proportional to 50,545.73, 69,751.99 and 27,884.75 is: 38,480.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,545.73 : 69,751.99 = 27,884.75 : x
  2. Step 2: Convert to fraction form
    50,545.73/69,751.99 = 27,884.75/x
  3. Step 3: Cross multiply
    50,545.73x = 69,751.99 × 27,884.75
  4. Step 4: Simplify right side
    50,545.73x = 1,945,016,384.68
  5. Step 5: Solve for x
    x = 1,945,016,384.68/50,545.73
  6. Step 6: Final answer
    x = 38,480.33

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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.