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Finding the Fourth Proportional to 49,462.71, 74,193.39 and 12,022.67

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Solution

The fourth proportional to 49,462.71, 74,193.39 and 12,022.67 is: 18,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,462.71 : 74,193.39 = 12,022.67 : x
  2. Step 2: Convert to fraction form
    49,462.71/74,193.39 = 12,022.67/x
  3. Step 3: Cross multiply
    49,462.71x = 74,193.39 × 12,022.67
  4. Step 4: Simplify right side
    49,462.71x = 892,002,654.78
  5. Step 5: Solve for x
    x = 892,002,654.78/49,462.71
  6. Step 6: Final answer
    x = 18,033.84

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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.