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Finding the Fourth Proportional to 34,029.37, 50,992.08 and 14,297.14

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Solution

The fourth proportional to 34,029.37, 50,992.08 and 14,297.14 is: 21,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,029.37 : 50,992.08 = 14,297.14 : x
  2. Step 2: Convert to fraction form
    34,029.37/50,992.08 = 14,297.14/x
  3. Step 3: Cross multiply
    34,029.37x = 50,992.08 × 14,297.14
  4. Step 4: Simplify right side
    34,029.37x = 729,040,906.65
  5. Step 5: Solve for x
    x = 729,040,906.65/34,029.37
  6. Step 6: Final answer
    x = 21,423.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.