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Finding the Fourth Proportional to 51,992.82, 77,994.70 and 16,935.21

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Solution

The fourth proportional to 51,992.82, 77,994.70 and 16,935.21 is: 25,404.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,992.82 : 77,994.70 = 16,935.21 : x
  2. Step 2: Convert to fraction form
    51,992.82/77,994.70 = 16,935.21/x
  3. Step 3: Cross multiply
    51,992.82x = 77,994.70 × 16,935.21
  4. Step 4: Simplify right side
    51,992.82x = 1,320,856,581.05
  5. Step 5: Solve for x
    x = 1,320,856,581.05/51,992.82
  6. Step 6: Final answer
    x = 25,404.60

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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.