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Finding the Fourth Proportional to 27,648.44, 41,472.63 and 6,871.94

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Solution

The fourth proportional to 27,648.44, 41,472.63 and 6,871.94 is: 10,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648.44 : 41,472.63 = 6,871.94 : x
  2. Step 2: Convert to fraction form
    27,648.44/41,472.63 = 6,871.94/x
  3. Step 3: Cross multiply
    27,648.44x = 41,472.63 × 6,871.94
  4. Step 4: Simplify right side
    27,648.44x = 284,997,217.64
  5. Step 5: Solve for x
    x = 284,997,217.64/27,648.44
  6. Step 6: Final answer
    x = 10,307.90

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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.