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Finding the Fourth Proportional to 33,163.32, 49,762.26 and 14,691

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Solution

The fourth proportional to 33,163.32, 49,762.26 and 14,691 is: 22,044.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,163.32 : 49,762.26 = 14,691 : x
  2. Step 2: Convert to fraction form
    33,163.32/49,762.26 = 14,691/x
  3. Step 3: Cross multiply
    33,163.32x = 49,762.26 × 14,691
  4. Step 4: Simplify right side
    33,163.32x = 731,057,361.66
  5. Step 5: Solve for x
    x = 731,057,361.66/33,163.32
  6. Step 6: Final answer
    x = 22,044.15

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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.