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Finding the Fourth Proportional to 50,463.61, 69,640.41 and 27,802.54

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Solution

The fourth proportional to 50,463.61, 69,640.41 and 27,802.54 is: 38,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,463.61 : 69,640.41 = 27,802.54 : x
  2. Step 2: Convert to fraction form
    50,463.61/69,640.41 = 27,802.54/x
  3. Step 3: Cross multiply
    50,463.61x = 69,640.41 × 27,802.54
  4. Step 4: Simplify right side
    50,463.61x = 1,936,180,319.56
  5. Step 5: Solve for x
    x = 1,936,180,319.56/50,463.61
  6. Step 6: Final answer
    x = 38,367.85

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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.