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Finding the Fourth Proportional to 27,852.72, 41,784.48 and 8,131.44

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Solution

The fourth proportional to 27,852.72, 41,784.48 and 8,131.44 is: 12,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,852.72 : 41,784.48 = 8,131.44 : x
  2. Step 2: Convert to fraction form
    27,852.72/41,784.48 = 8,131.44/x
  3. Step 3: Cross multiply
    27,852.72x = 41,784.48 × 8,131.44
  4. Step 4: Simplify right side
    27,852.72x = 339,767,992.05
  5. Step 5: Solve for x
    x = 339,767,992.05/27,852.72
  6. Step 6: Final answer
    x = 12,198.74

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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.