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Finding the Fourth Proportional to 29,920.92, 44,879.76 and 9,144.42

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Solution

The fourth proportional to 29,920.92, 44,879.76 and 9,144.42 is: 13,716.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,920.92 : 44,879.76 = 9,144.42 : x
  2. Step 2: Convert to fraction form
    29,920.92/44,879.76 = 9,144.42/x
  3. Step 3: Cross multiply
    29,920.92x = 44,879.76 × 9,144.42
  4. Step 4: Simplify right side
    29,920.92x = 410,399,374.94
  5. Step 5: Solve for x
    x = 410,399,374.94/29,920.92
  6. Step 6: Final answer
    x = 13,716.13

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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.