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Finding the Fourth Proportional to 27,942.16, 41,913.60 and 8,221.14

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Solution

The fourth proportional to 27,942.16, 41,913.60 and 8,221.14 is: 12,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942.16 : 41,913.60 = 8,221.14 : x
  2. Step 2: Convert to fraction form
    27,942.16/41,913.60 = 8,221.14/x
  3. Step 3: Cross multiply
    27,942.16x = 41,913.60 × 8,221.14
  4. Step 4: Simplify right side
    27,942.16x = 344,577,573.50
  5. Step 5: Solve for x
    x = 344,577,573.50/27,942.16
  6. Step 6: Final answer
    x = 12,331.82

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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.