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Finding the Fourth Proportional to 49,717, 68,610.54 and 27,361

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Solution

The fourth proportional to 49,717, 68,610.54 and 27,361 is: 37,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,717 : 68,610.54 = 27,361 : x
  2. Step 2: Convert to fraction form
    49,717/68,610.54 = 27,361/x
  3. Step 3: Cross multiply
    49,717x = 68,610.54 × 27,361
  4. Step 4: Simplify right side
    49,717x = 1,877,252,984.94
  5. Step 5: Solve for x
    x = 1,877,252,984.94/49,717
  6. Step 6: Final answer
    x = 37,758.77

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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.