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Finding the Fourth Proportional to 50,906.56, 76,396.84 and 38,442

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Solution

The fourth proportional to 50,906.56, 76,396.84 and 38,442 is: 57,690.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,906.56 : 76,396.84 = 38,442 : x
  2. Step 2: Convert to fraction form
    50,906.56/76,396.84 = 38,442/x
  3. Step 3: Cross multiply
    50,906.56x = 76,396.84 × 38,442
  4. Step 4: Simplify right side
    50,906.56x = 2,936,847,323.28
  5. Step 5: Solve for x
    x = 2,936,847,323.28/50,906.56
  6. Step 6: Final answer
    x = 57,690.94

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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.