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Finding the Fourth Proportional to 36,881.34, 50,896.53 and 20,114.34

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Solution

The fourth proportional to 36,881.34, 50,896.53 and 20,114.34 is: 27,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,881.34 : 50,896.53 = 20,114.34 : x
  2. Step 2: Convert to fraction form
    36,881.34/50,896.53 = 20,114.34/x
  3. Step 3: Cross multiply
    36,881.34x = 50,896.53 × 20,114.34
  4. Step 4: Simplify right side
    36,881.34x = 1,023,750,109.24
  5. Step 5: Solve for x
    x = 1,023,750,109.24/36,881.34
  6. Step 6: Final answer
    x = 27,757.94

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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.