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Finding the Fourth Proportional to 50,170, 69,234.60 and 27,814

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Solution

The fourth proportional to 50,170, 69,234.60 and 27,814 is: 38,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,170 : 69,234.60 = 27,814 : x
  2. Step 2: Convert to fraction form
    50,170/69,234.60 = 27,814/x
  3. Step 3: Cross multiply
    50,170x = 69,234.60 × 27,814
  4. Step 4: Simplify right side
    50,170x = 1,925,691,164.40
  5. Step 5: Solve for x
    x = 1,925,691,164.40/50,170
  6. Step 6: Final answer
    x = 38,383.32

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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.