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Finding the Fourth Proportional to 51,993.94, 77,992.12 and 16,936.32

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Solution

The fourth proportional to 51,993.94, 77,992.12 and 16,936.32 is: 25,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,993.94 : 77,992.12 = 16,936.32 : x
  2. Step 2: Convert to fraction form
    51,993.94/77,992.12 = 16,936.32/x
  3. Step 3: Cross multiply
    51,993.94x = 77,992.12 × 16,936.32
  4. Step 4: Simplify right side
    51,993.94x = 1,320,899,501.80
  5. Step 5: Solve for x
    x = 1,320,899,501.80/51,993.94
  6. Step 6: Final answer
    x = 25,404.87

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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.