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Finding the Fourth Proportional to 80,578.36, 120,857.91 and 21,418.57

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Solution

The fourth proportional to 80,578.36, 120,857.91 and 21,418.57 is: 32,125.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,578.36 : 120,857.91 = 21,418.57 : x
  2. Step 2: Convert to fraction form
    80,578.36/120,857.91 = 21,418.57/x
  3. Step 3: Cross multiply
    80,578.36x = 120,857.91 × 21,418.57
  4. Step 4: Simplify right side
    80,578.36x = 2,588,603,605.39
  5. Step 5: Solve for x
    x = 2,588,603,605.39/80,578.36
  6. Step 6: Final answer
    x = 32,125.30

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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.