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Finding the Fourth Proportional to 49,369, 68,129.22 and 27,013.48

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Solution

The fourth proportional to 49,369, 68,129.22 and 27,013.48 is: 37,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,369 : 68,129.22 = 27,013.48 : x
  2. Step 2: Convert to fraction form
    49,369/68,129.22 = 27,013.48/x
  3. Step 3: Cross multiply
    49,369x = 68,129.22 × 27,013.48
  4. Step 4: Simplify right side
    49,369x = 1,840,407,321.89
  5. Step 5: Solve for x
    x = 1,840,407,321.89/49,369
  6. Step 6: Final answer
    x = 37,278.60

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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.