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Finding the Fourth Proportional to 31,049.36, 46,491.36 and 21,207.84

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Solution

The fourth proportional to 31,049.36, 46,491.36 and 21,207.84 is: 31,755.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.36 : 46,491.36 = 21,207.84 : x
  2. Step 2: Convert to fraction form
    31,049.36/46,491.36 = 21,207.84/x
  3. Step 3: Cross multiply
    31,049.36x = 46,491.36 × 21,207.84
  4. Step 4: Simplify right side
    31,049.36x = 985,981,324.26
  5. Step 5: Solve for x
    x = 985,981,324.26/31,049.36
  6. Step 6: Final answer
    x = 31,755.29

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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.