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Finding the Fourth Proportional to 49,292.56, 73,824 and 38,163.44

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Solution

The fourth proportional to 49,292.56, 73,824 and 38,163.44 is: 57,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,292.56 : 73,824 = 38,163.44 : x
  2. Step 2: Convert to fraction form
    49,292.56/73,824 = 38,163.44/x
  3. Step 3: Cross multiply
    49,292.56x = 73,824 × 38,163.44
  4. Step 4: Simplify right side
    49,292.56x = 2,817,377,794.56
  5. Step 5: Solve for x
    x = 2,817,377,794.56/49,292.56
  6. Step 6: Final answer
    x = 57,156.25

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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.