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Finding the Fourth Proportional to 50,846, 76,269 and 13,910

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Solution

The fourth proportional to 50,846, 76,269 and 13,910 is: 20,865

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,846 : 76,269 = 13,910 : x
  2. Step 2: Convert to fraction form
    50,846/76,269 = 13,910/x
  3. Step 3: Cross multiply
    50,846x = 76,269 × 13,910
  4. Step 4: Simplify right side
    50,846x = 1,060,901,790
  5. Step 5: Solve for x
    x = 1,060,901,790/50,846
  6. Step 6: Final answer
    x = 20,865

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.