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Finding the Fourth Proportional to 49,108, 73,662 and 16,276

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Solution

The fourth proportional to 49,108, 73,662 and 16,276 is: 24,414

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,108 : 73,662 = 16,276 : x
  2. Step 2: Convert to fraction form
    49,108/73,662 = 16,276/x
  3. Step 3: Cross multiply
    49,108x = 73,662 × 16,276
  4. Step 4: Simplify right side
    49,108x = 1,198,922,712
  5. Step 5: Solve for x
    x = 1,198,922,712/49,108
  6. Step 6: Final answer
    x = 24,414

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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.