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Finding the Fourth Proportional to 31,049.48, 46,564.14 and 13,514.12

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Solution

The fourth proportional to 31,049.48, 46,564.14 and 13,514.12 is: 20,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.48 : 46,564.14 = 13,514.12 : x
  2. Step 2: Convert to fraction form
    31,049.48/46,564.14 = 13,514.12/x
  3. Step 3: Cross multiply
    31,049.48x = 46,564.14 × 13,514.12
  4. Step 4: Simplify right side
    31,049.48x = 629,273,375.66
  5. Step 5: Solve for x
    x = 629,273,375.66/31,049.48
  6. Step 6: Final answer
    x = 20,266.79

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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.