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Finding the Fourth Proportional to 47,791.62, 71,687.84 and 16,605

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Solution

The fourth proportional to 47,791.62, 71,687.84 and 16,605 is: 24,907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,791.62 : 71,687.84 = 16,605 : x
  2. Step 2: Convert to fraction form
    47,791.62/71,687.84 = 16,605/x
  3. Step 3: Cross multiply
    47,791.62x = 71,687.84 × 16,605
  4. Step 4: Simplify right side
    47,791.62x = 1,190,376,500.18
  5. Step 5: Solve for x
    x = 1,190,376,500.18/47,791.62
  6. Step 6: Final answer
    x = 24,907.64

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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.