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Finding the Fourth Proportional to 37,851.85, 56,788.87 and 11,198.54

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Solution

The fourth proportional to 37,851.85, 56,788.87 and 11,198.54 is: 16,801.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,851.85 : 56,788.87 = 11,198.54 : x
  2. Step 2: Convert to fraction form
    37,851.85/56,788.87 = 11,198.54/x
  3. Step 3: Cross multiply
    37,851.85x = 56,788.87 × 11,198.54
  4. Step 4: Simplify right side
    37,851.85x = 635,952,432.25
  5. Step 5: Solve for x
    x = 635,952,432.25/37,851.85
  6. Step 6: Final answer
    x = 16,801.09

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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.