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Finding the Fourth Proportional to 35,922.92, 49,556.46 and 27,910.31

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Solution

The fourth proportional to 35,922.92, 49,556.46 and 27,910.31 is: 38,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,922.92 : 49,556.46 = 27,910.31 : x
  2. Step 2: Convert to fraction form
    35,922.92/49,556.46 = 27,910.31/x
  3. Step 3: Cross multiply
    35,922.92x = 49,556.46 × 27,910.31
  4. Step 4: Simplify right side
    35,922.92x = 1,383,136,161.10
  5. Step 5: Solve for x
    x = 1,383,136,161.10/35,922.92
  6. Step 6: Final answer
    x = 38,502.89

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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.