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Finding the Fourth Proportional to 50,164.70, 69,236.10 and 38,105.10

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Solution

The fourth proportional to 50,164.70, 69,236.10 and 38,105.10 is: 52,591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,164.70 : 69,236.10 = 38,105.10 : x
  2. Step 2: Convert to fraction form
    50,164.70/69,236.10 = 38,105.10/x
  3. Step 3: Cross multiply
    50,164.70x = 69,236.10 × 38,105.10
  4. Step 4: Simplify right side
    50,164.70x = 2,638,248,514.11
  5. Step 5: Solve for x
    x = 2,638,248,514.11/50,164.70
  6. Step 6: Final answer
    x = 52,591.73

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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.