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Finding the Fourth Proportional to 33,090.91, 49,635.93 and 8,131.07

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Solution

The fourth proportional to 33,090.91, 49,635.93 and 8,131.07 is: 12,196.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,090.91 : 49,635.93 = 8,131.07 : x
  2. Step 2: Convert to fraction form
    33,090.91/49,635.93 = 8,131.07/x
  3. Step 3: Cross multiply
    33,090.91x = 49,635.93 × 8,131.07
  4. Step 4: Simplify right side
    33,090.91x = 403,593,221.35
  5. Step 5: Solve for x
    x = 403,593,221.35/33,090.91
  6. Step 6: Final answer
    x = 12,196.50

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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.