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Finding the Fourth Proportional to 53,108, 79,662 and 16,172

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Solution

The fourth proportional to 53,108, 79,662 and 16,172 is: 24,258

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,108 : 79,662 = 16,172 : x
  2. Step 2: Convert to fraction form
    53,108/79,662 = 16,172/x
  3. Step 3: Cross multiply
    53,108x = 79,662 × 16,172
  4. Step 4: Simplify right side
    53,108x = 1,288,293,864
  5. Step 5: Solve for x
    x = 1,288,293,864/53,108
  6. Step 6: Final answer
    x = 24,258

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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.