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Finding the Fourth Proportional to 27,885.42, 41,827.87 and 6,825.55

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Solution

The fourth proportional to 27,885.42, 41,827.87 and 6,825.55 is: 10,238.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,885.42 : 41,827.87 = 6,825.55 : x
  2. Step 2: Convert to fraction form
    27,885.42/41,827.87 = 6,825.55/x
  3. Step 3: Cross multiply
    27,885.42x = 41,827.87 × 6,825.55
  4. Step 4: Simplify right side
    27,885.42x = 285,498,218.08
  5. Step 5: Solve for x
    x = 285,498,218.08/27,885.42
  6. Step 6: Final answer
    x = 10,238.26

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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.