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Finding the Fourth Proportional to 36,961, 51,006.48 and 20,194

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Solution

The fourth proportional to 36,961, 51,006.48 and 20,194 is: 27,867.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,961 : 51,006.48 = 20,194 : x
  2. Step 2: Convert to fraction form
    36,961/51,006.48 = 20,194/x
  3. Step 3: Cross multiply
    36,961x = 51,006.48 × 20,194
  4. Step 4: Simplify right side
    36,961x = 1,030,024,857.12
  5. Step 5: Solve for x
    x = 1,030,024,857.12/36,961
  6. Step 6: Final answer
    x = 27,867.88

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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.