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Finding the Fourth Proportional to 49,977, 68,968.34 and 27,621

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Solution

The fourth proportional to 49,977, 68,968.34 and 27,621 is: 38,117.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,977 : 68,968.34 = 27,621 : x
  2. Step 2: Convert to fraction form
    49,977/68,968.34 = 27,621/x
  3. Step 3: Cross multiply
    49,977x = 68,968.34 × 27,621
  4. Step 4: Simplify right side
    49,977x = 1,904,974,519.14
  5. Step 5: Solve for x
    x = 1,904,974,519.14/49,977
  6. Step 6: Final answer
    x = 38,117.02

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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.