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Finding the Fourth Proportional to 38,443.86, 53,049.89 and 22,311.64

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Solution

The fourth proportional to 38,443.86, 53,049.89 and 22,311.64 is: 30,788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,443.86 : 53,049.89 = 22,311.64 : x
  2. Step 2: Convert to fraction form
    38,443.86/53,049.89 = 22,311.64/x
  3. Step 3: Cross multiply
    38,443.86x = 53,049.89 × 22,311.64
  4. Step 4: Simplify right side
    38,443.86x = 1,183,629,970.87
  5. Step 5: Solve for x
    x = 1,183,629,970.87/38,443.86
  6. Step 6: Final answer
    x = 30,788.53

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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.