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Finding the Fourth Proportional to 27,431.68, 41,147.52 and 6,655

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Solution

The fourth proportional to 27,431.68, 41,147.52 and 6,655 is: 9,982.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.68 : 41,147.52 = 6,655 : x
  2. Step 2: Convert to fraction form
    27,431.68/41,147.52 = 6,655/x
  3. Step 3: Cross multiply
    27,431.68x = 41,147.52 × 6,655
  4. Step 4: Simplify right side
    27,431.68x = 273,836,745.60
  5. Step 5: Solve for x
    x = 273,836,745.60/27,431.68
  6. Step 6: Final answer
    x = 9,982.50

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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.