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Finding the Fourth Proportional to 50,598, 75,897 and 13,662

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Solution

The fourth proportional to 50,598, 75,897 and 13,662 is: 20,493

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,598 : 75,897 = 13,662 : x
  2. Step 2: Convert to fraction form
    50,598/75,897 = 13,662/x
  3. Step 3: Cross multiply
    50,598x = 75,897 × 13,662
  4. Step 4: Simplify right side
    50,598x = 1,036,904,814
  5. Step 5: Solve for x
    x = 1,036,904,814/50,598
  6. Step 6: Final answer
    x = 20,493

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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.