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Finding the Fourth Proportional to 50,296.10, 69,408.62 and 27,636.54

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Solution

The fourth proportional to 50,296.10, 69,408.62 and 27,636.54 is: 38,138.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296.10 : 69,408.62 = 27,636.54 : x
  2. Step 2: Convert to fraction form
    50,296.10/69,408.62 = 27,636.54/x
  3. Step 3: Cross multiply
    50,296.10x = 69,408.62 × 27,636.54
  4. Step 4: Simplify right side
    50,296.10x = 1,918,214,102.97
  5. Step 5: Solve for x
    x = 1,918,214,102.97/50,296.10
  6. Step 6: Final answer
    x = 38,138.43

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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.