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Finding the Fourth Proportional to 49,138.83, 73,708.14 and 12,202.83

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Solution

The fourth proportional to 49,138.83, 73,708.14 and 12,202.83 is: 18,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,138.83 : 73,708.14 = 12,202.83 : x
  2. Step 2: Convert to fraction form
    49,138.83/73,708.14 = 12,202.83/x
  3. Step 3: Cross multiply
    49,138.83x = 73,708.14 × 12,202.83
  4. Step 4: Simplify right side
    49,138.83x = 899,447,902.04
  5. Step 5: Solve for x
    x = 899,447,902.04/49,138.83
  6. Step 6: Final answer
    x = 18,304.22

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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.