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Finding the Fourth Proportional to 47,163.94, 65,078.82 and 27,016

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Solution

The fourth proportional to 47,163.94, 65,078.82 and 27,016 is: 37,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,163.94 : 65,078.82 = 27,016 : x
  2. Step 2: Convert to fraction form
    47,163.94/65,078.82 = 27,016/x
  3. Step 3: Cross multiply
    47,163.94x = 65,078.82 × 27,016
  4. Step 4: Simplify right side
    47,163.94x = 1,758,169,401.12
  5. Step 5: Solve for x
    x = 1,758,169,401.12/47,163.94
  6. Step 6: Final answer
    x = 37,277.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.