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Finding the Fourth Proportional to 33,963.72, 50,940 and 9,005.31

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Solution

The fourth proportional to 33,963.72, 50,940 and 9,005.31 is: 13,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,963.72 : 50,940 = 9,005.31 : x
  2. Step 2: Convert to fraction form
    33,963.72/50,940 = 9,005.31/x
  3. Step 3: Cross multiply
    33,963.72x = 50,940 × 9,005.31
  4. Step 4: Simplify right side
    33,963.72x = 458,730,491.40
  5. Step 5: Solve for x
    x = 458,730,491.40/33,963.72
  6. Step 6: Final answer
    x = 13,506.49

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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.