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Finding the Fourth Proportional to 49,521.50, 74,255.36 and 22,489

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Solution

The fourth proportional to 49,521.50, 74,255.36 and 22,489 is: 33,721.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,521.50 : 74,255.36 = 22,489 : x
  2. Step 2: Convert to fraction form
    49,521.50/74,255.36 = 22,489/x
  3. Step 3: Cross multiply
    49,521.50x = 74,255.36 × 22,489
  4. Step 4: Simplify right side
    49,521.50x = 1,669,928,791.04
  5. Step 5: Solve for x
    x = 1,669,928,791.04/49,521.50
  6. Step 6: Final answer
    x = 33,721.29

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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.