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Finding the Fourth Proportional to 49,707, 68,596.20 and 27,351

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Solution

The fourth proportional to 49,707, 68,596.20 and 27,351 is: 37,744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,707 : 68,596.20 = 27,351 : x
  2. Step 2: Convert to fraction form
    49,707/68,596.20 = 27,351/x
  3. Step 3: Cross multiply
    49,707x = 68,596.20 × 27,351
  4. Step 4: Simplify right side
    49,707x = 1,876,174,666.20
  5. Step 5: Solve for x
    x = 1,876,174,666.20/49,707
  6. Step 6: Final answer
    x = 37,744.68

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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.