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Finding the Fourth Proportional to 49,979, 68,971.10 and 27,623

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Solution

The fourth proportional to 49,979, 68,971.10 and 27,623 is: 38,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,979 : 68,971.10 = 27,623 : x
  2. Step 2: Convert to fraction form
    49,979/68,971.10 = 27,623/x
  3. Step 3: Cross multiply
    49,979x = 68,971.10 × 27,623
  4. Step 4: Simplify right side
    49,979x = 1,905,188,695.30
  5. Step 5: Solve for x
    x = 1,905,188,695.30/49,979
  6. Step 6: Final answer
    x = 38,119.78

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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.