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Finding the Fourth Proportional to 33,192.26, 49,788.38 and 9,816.87

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Solution

The fourth proportional to 33,192.26, 49,788.38 and 9,816.87 is: 14,725.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,192.26 : 49,788.38 = 9,816.87 : x
  2. Step 2: Convert to fraction form
    33,192.26/49,788.38 = 9,816.87/x
  3. Step 3: Cross multiply
    33,192.26x = 49,788.38 × 9,816.87
  4. Step 4: Simplify right side
    33,192.26x = 488,766,078.51
  5. Step 5: Solve for x
    x = 488,766,078.51/33,192.26
  6. Step 6: Final answer
    x = 14,725.31

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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.