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Finding the Fourth Proportional to 51,992, 77,996.10 and 16,923.38

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Solution

The fourth proportional to 51,992, 77,996.10 and 16,923.38 is: 25,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,992 : 77,996.10 = 16,923.38 : x
  2. Step 2: Convert to fraction form
    51,992/77,996.10 = 16,923.38/x
  3. Step 3: Cross multiply
    51,992x = 77,996.10 × 16,923.38
  4. Step 4: Simplify right side
    51,992x = 1,319,957,638.82
  5. Step 5: Solve for x
    x = 1,319,957,638.82/51,992
  6. Step 6: Final answer
    x = 25,387.71

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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.