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Finding the Fourth Proportional to 36,658.50, 50,589 and 19,891.50

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Solution

The fourth proportional to 36,658.50, 50,589 and 19,891.50 is: 27,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,658.50 : 50,589 = 19,891.50 : x
  2. Step 2: Convert to fraction form
    36,658.50/50,589 = 19,891.50/x
  3. Step 3: Cross multiply
    36,658.50x = 50,589 × 19,891.50
  4. Step 4: Simplify right side
    36,658.50x = 1,006,291,093.50
  5. Step 5: Solve for x
    x = 1,006,291,093.50/36,658.50
  6. Step 6: Final answer
    x = 27,450.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.