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Finding the Fourth Proportional to 49,286.76, 73,922.22 and 13,749

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Solution

The fourth proportional to 49,286.76, 73,922.22 and 13,749 is: 20,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,286.76 : 73,922.22 = 13,749 : x
  2. Step 2: Convert to fraction form
    49,286.76/73,922.22 = 13,749/x
  3. Step 3: Cross multiply
    49,286.76x = 73,922.22 × 13,749
  4. Step 4: Simplify right side
    49,286.76x = 1,016,356,602.78
  5. Step 5: Solve for x
    x = 1,016,356,602.78/49,286.76
  6. Step 6: Final answer
    x = 20,621.29

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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.