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Finding the Fourth Proportional to 52,067.54, 78,108.94 and 16,517

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Solution

The fourth proportional to 52,067.54, 78,108.94 and 16,517 is: 24,777.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,067.54 : 78,108.94 = 16,517 : x
  2. Step 2: Convert to fraction form
    52,067.54/78,108.94 = 16,517/x
  3. Step 3: Cross multiply
    52,067.54x = 78,108.94 × 16,517
  4. Step 4: Simplify right side
    52,067.54x = 1,290,125,361.98
  5. Step 5: Solve for x
    x = 1,290,125,361.98/52,067.54
  6. Step 6: Final answer
    x = 24,777.92

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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.