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Finding the Fourth Proportional to 33,197.88, 49,802.58 and 12,421.56

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Solution

The fourth proportional to 33,197.88, 49,802.58 and 12,421.56 is: 18,634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197.88 : 49,802.58 = 12,421.56 : x
  2. Step 2: Convert to fraction form
    33,197.88/49,802.58 = 12,421.56/x
  3. Step 3: Cross multiply
    33,197.88x = 49,802.58 × 12,421.56
  4. Step 4: Simplify right side
    33,197.88x = 618,625,735.62
  5. Step 5: Solve for x
    x = 618,625,735.62/33,197.88
  6. Step 6: Final answer
    x = 18,634.50

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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.