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Finding the Fourth Proportional to 49,749.54, 68,654.97 and 27,088.44

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Solution

The fourth proportional to 49,749.54, 68,654.97 and 27,088.44 is: 37,382.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,749.54 : 68,654.97 = 27,088.44 : x
  2. Step 2: Convert to fraction form
    49,749.54/68,654.97 = 27,088.44/x
  3. Step 3: Cross multiply
    49,749.54x = 68,654.97 × 27,088.44
  4. Step 4: Simplify right side
    49,749.54x = 1,859,756,035.55
  5. Step 5: Solve for x
    x = 1,859,756,035.55/49,749.54
  6. Step 6: Final answer
    x = 37,382.38

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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.