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Finding the Fourth Proportional to 36,114.20, 49,840.14 and 20,200.14

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Solution

The fourth proportional to 36,114.20, 49,840.14 and 20,200.14 is: 27,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,114.20 : 49,840.14 = 20,200.14 : x
  2. Step 2: Convert to fraction form
    36,114.20/49,840.14 = 20,200.14/x
  3. Step 3: Cross multiply
    36,114.20x = 49,840.14 × 20,200.14
  4. Step 4: Simplify right side
    36,114.20x = 1,006,777,805.62
  5. Step 5: Solve for x
    x = 1,006,777,805.62/36,114.20
  6. Step 6: Final answer
    x = 27,877.62

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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.