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Finding the Fourth Proportional to 49,138.50, 73,708.26 and 12,202.50

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Solution

The fourth proportional to 49,138.50, 73,708.26 and 12,202.50 is: 18,303.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,138.50 : 73,708.26 = 12,202.50 : x
  2. Step 2: Convert to fraction form
    49,138.50/73,708.26 = 12,202.50/x
  3. Step 3: Cross multiply
    49,138.50x = 73,708.26 × 12,202.50
  4. Step 4: Simplify right side
    49,138.50x = 899,425,042.65
  5. Step 5: Solve for x
    x = 899,425,042.65/49,138.50
  6. Step 6: Final answer
    x = 18,303.88

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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.