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Finding the Fourth Proportional to 50,305, 69,423.06 and 27,949

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Solution

The fourth proportional to 50,305, 69,423.06 and 27,949 is: 38,570.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,305 : 69,423.06 = 27,949 : x
  2. Step 2: Convert to fraction form
    50,305/69,423.06 = 27,949/x
  3. Step 3: Cross multiply
    50,305x = 69,423.06 × 27,949
  4. Step 4: Simplify right side
    50,305x = 1,940,305,103.94
  5. Step 5: Solve for x
    x = 1,940,305,103.94/50,305
  6. Step 6: Final answer
    x = 38,570.82

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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.