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Finding the Fourth Proportional to 50,061, 69,086.34 and 27,705

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Solution

The fourth proportional to 50,061, 69,086.34 and 27,705 is: 38,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,061 : 69,086.34 = 27,705 : x
  2. Step 2: Convert to fraction form
    50,061/69,086.34 = 27,705/x
  3. Step 3: Cross multiply
    50,061x = 69,086.34 × 27,705
  4. Step 4: Simplify right side
    50,061x = 1,914,037,049.70
  5. Step 5: Solve for x
    x = 1,914,037,049.70/50,061
  6. Step 6: Final answer
    x = 38,234.10

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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.