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Finding the Fourth Proportional to 49,401, 68,174.46 and 27,045

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Solution

The fourth proportional to 49,401, 68,174.46 and 27,045 is: 37,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,401 : 68,174.46 = 27,045 : x
  2. Step 2: Convert to fraction form
    49,401/68,174.46 = 27,045/x
  3. Step 3: Cross multiply
    49,401x = 68,174.46 × 27,045
  4. Step 4: Simplify right side
    49,401x = 1,843,778,270.70
  5. Step 5: Solve for x
    x = 1,843,778,270.70/49,401
  6. Step 6: Final answer
    x = 37,322.69

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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.