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Finding the Fourth Proportional to 50,105, 75,162.48 and 18,523.34

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Solution

The fourth proportional to 50,105, 75,162.48 and 18,523.34 is: 27,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,105 : 75,162.48 = 18,523.34 : x
  2. Step 2: Convert to fraction form
    50,105/75,162.48 = 18,523.34/x
  3. Step 3: Cross multiply
    50,105x = 75,162.48 × 18,523.34
  4. Step 4: Simplify right side
    50,105x = 1,392,260,172.28
  5. Step 5: Solve for x
    x = 1,392,260,172.28/50,105
  6. Step 6: Final answer
    x = 27,786.85

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.