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Finding the Fourth Proportional to 49,494.50, 74,206.48 and 23,184.89

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Solution

The fourth proportional to 49,494.50, 74,206.48 and 23,184.89 is: 34,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,494.50 : 74,206.48 = 23,184.89 : x
  2. Step 2: Convert to fraction form
    49,494.50/74,206.48 = 23,184.89/x
  3. Step 3: Cross multiply
    49,494.50x = 74,206.48 × 23,184.89
  4. Step 4: Simplify right side
    49,494.50x = 1,720,469,076.09
  5. Step 5: Solve for x
    x = 1,720,469,076.09/49,494.50
  6. Step 6: Final answer
    x = 34,760.81

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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.