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Finding the Fourth Proportional to 49,640.48, 68,502.48 and 26,978.48

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Solution

The fourth proportional to 49,640.48, 68,502.48 and 26,978.48 is: 37,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,640.48 : 68,502.48 = 26,978.48 : x
  2. Step 2: Convert to fraction form
    49,640.48/68,502.48 = 26,978.48/x
  3. Step 3: Cross multiply
    49,640.48x = 68,502.48 × 26,978.48
  4. Step 4: Simplify right side
    49,640.48x = 1,848,092,786.63
  5. Step 5: Solve for x
    x = 1,848,092,786.63/49,640.48
  6. Step 6: Final answer
    x = 37,229.55

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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.