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Finding the Fourth Proportional to 49,398, 68,169.24 and 27,042

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Solution

The fourth proportional to 49,398, 68,169.24 and 27,042 is: 37,317.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,398 : 68,169.24 = 27,042 : x
  2. Step 2: Convert to fraction form
    49,398/68,169.24 = 27,042/x
  3. Step 3: Cross multiply
    49,398x = 68,169.24 × 27,042
  4. Step 4: Simplify right side
    49,398x = 1,843,432,588.08
  5. Step 5: Solve for x
    x = 1,843,432,588.08/49,398
  6. Step 6: Final answer
    x = 37,317.96

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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.