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Finding the Fourth Proportional to 49,968.48, 68,957.28 and 27,612.48

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Solution

The fourth proportional to 49,968.48, 68,957.28 and 27,612.48 is: 38,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,968.48 : 68,957.28 = 27,612.48 : x
  2. Step 2: Convert to fraction form
    49,968.48/68,957.28 = 27,612.48/x
  3. Step 3: Cross multiply
    49,968.48x = 68,957.28 × 27,612.48
  4. Step 4: Simplify right side
    49,968.48x = 1,904,081,514.85
  5. Step 5: Solve for x
    x = 1,904,081,514.85/49,968.48
  6. Step 6: Final answer
    x = 38,105.65

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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.