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Finding the Fourth Proportional to 36,889.12, 50,906.88 and 20,122

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Solution

The fourth proportional to 36,889.12, 50,906.88 and 20,122 is: 27,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,889.12 : 50,906.88 = 20,122 : x
  2. Step 2: Convert to fraction form
    36,889.12/50,906.88 = 20,122/x
  3. Step 3: Cross multiply
    36,889.12x = 50,906.88 × 20,122
  4. Step 4: Simplify right side
    36,889.12x = 1,024,348,239.36
  5. Step 5: Solve for x
    x = 1,024,348,239.36/36,889.12
  6. Step 6: Final answer
    x = 27,768.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.