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Finding the Fourth Proportional to 49,734, 68,632.92 and 27,378

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Solution

The fourth proportional to 49,734, 68,632.92 and 27,378 is: 37,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,734 : 68,632.92 = 27,378 : x
  2. Step 2: Convert to fraction form
    49,734/68,632.92 = 27,378/x
  3. Step 3: Cross multiply
    49,734x = 68,632.92 × 27,378
  4. Step 4: Simplify right side
    49,734x = 1,879,032,083.76
  5. Step 5: Solve for x
    x = 1,879,032,083.76/49,734
  6. Step 6: Final answer
    x = 37,781.64

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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.