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Finding the Fourth Proportional to 37,851.82, 56,786.04 and 11,195.73

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Solution

The fourth proportional to 37,851.82, 56,786.04 and 11,195.73 is: 16,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,851.82 : 56,786.04 = 11,195.73 : x
  2. Step 2: Convert to fraction form
    37,851.82/56,786.04 = 11,195.73/x
  3. Step 3: Cross multiply
    37,851.82x = 56,786.04 × 11,195.73
  4. Step 4: Simplify right side
    37,851.82x = 635,760,887.68
  5. Step 5: Solve for x
    x = 635,760,887.68/37,851.82
  6. Step 6: Final answer
    x = 16,796.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.