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Finding the Fourth Proportional to 36,961, 51,006.18 and 20,194.12

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Solution

The fourth proportional to 36,961, 51,006.18 and 20,194.12 is: 27,867.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,961 : 51,006.18 = 20,194.12 : x
  2. Step 2: Convert to fraction form
    36,961/51,006.18 = 20,194.12/x
  3. Step 3: Cross multiply
    36,961x = 51,006.18 × 20,194.12
  4. Step 4: Simplify right side
    36,961x = 1,030,024,919.66
  5. Step 5: Solve for x
    x = 1,030,024,919.66/36,961
  6. Step 6: Final answer
    x = 27,867.89

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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.