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Finding the Fourth Proportional to 33,193.92, 49,747.80 and 13,461.72

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Solution

The fourth proportional to 33,193.92, 49,747.80 and 13,461.72 is: 20,175.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,193.92 : 49,747.80 = 13,461.72 : x
  2. Step 2: Convert to fraction form
    33,193.92/49,747.80 = 13,461.72/x
  3. Step 3: Cross multiply
    33,193.92x = 49,747.80 × 13,461.72
  4. Step 4: Simplify right side
    33,193.92x = 669,690,954.22
  5. Step 5: Solve for x
    x = 669,690,954.22/33,193.92
  6. Step 6: Final answer
    x = 20,175.11

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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.