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Finding the Fourth Proportional to 50,190.96, 75,286.44 and 47,802

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Solution

The fourth proportional to 50,190.96, 75,286.44 and 47,802 is: 71,703

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,190.96 : 75,286.44 = 47,802 : x
  2. Step 2: Convert to fraction form
    50,190.96/75,286.44 = 47,802/x
  3. Step 3: Cross multiply
    50,190.96x = 75,286.44 × 47,802
  4. Step 4: Simplify right side
    50,190.96x = 3,598,842,404.88
  5. Step 5: Solve for x
    x = 3,598,842,404.88/50,190.96
  6. Step 6: Final answer
    x = 71,703

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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.