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Finding the Fourth Proportional to 49,353, 68,107.14 and 26,997.48

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Solution

The fourth proportional to 49,353, 68,107.14 and 26,997.48 is: 37,256.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,353 : 68,107.14 = 26,997.48 : x
  2. Step 2: Convert to fraction form
    49,353/68,107.14 = 26,997.48/x
  3. Step 3: Cross multiply
    49,353x = 68,107.14 × 26,997.48
  4. Step 4: Simplify right side
    49,353x = 1,838,721,150.01
  5. Step 5: Solve for x
    x = 1,838,721,150.01/49,353
  6. Step 6: Final answer
    x = 37,256.52

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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.