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Finding the Fourth Proportional to 49,494, 74,205.73 and 23,184.39

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Solution

The fourth proportional to 49,494, 74,205.73 and 23,184.39 is: 34,760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,494 : 74,205.73 = 23,184.39 : x
  2. Step 2: Convert to fraction form
    49,494/74,205.73 = 23,184.39/x
  3. Step 3: Cross multiply
    49,494x = 74,205.73 × 23,184.39
  4. Step 4: Simplify right side
    49,494x = 1,720,414,584.55
  5. Step 5: Solve for x
    x = 1,720,414,584.55/49,494
  6. Step 6: Final answer
    x = 34,760.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.