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Finding the Fourth Proportional to 33,192.24, 49,781.22 and 11,000.58

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Solution

The fourth proportional to 33,192.24, 49,781.22 and 11,000.58 is: 16,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,192.24 : 49,781.22 = 11,000.58 : x
  2. Step 2: Convert to fraction form
    33,192.24/49,781.22 = 11,000.58/x
  3. Step 3: Cross multiply
    33,192.24x = 49,781.22 × 11,000.58
  4. Step 4: Simplify right side
    33,192.24x = 547,622,293.11
  5. Step 5: Solve for x
    x = 547,622,293.11/33,192.24
  6. Step 6: Final answer
    x = 16,498.50

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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.