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Finding the Fourth Proportional to 103,197.33, 154,744.70 and 33,067.53

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Solution

The fourth proportional to 103,197.33, 154,744.70 and 33,067.53 is: 49,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,197.33 : 154,744.70 = 33,067.53 : x
  2. Step 2: Convert to fraction form
    103,197.33/154,744.70 = 33,067.53/x
  3. Step 3: Cross multiply
    103,197.33x = 154,744.70 × 33,067.53
  4. Step 4: Simplify right side
    103,197.33x = 5,117,024,844.25
  5. Step 5: Solve for x
    x = 5,117,024,844.25/103,197.33
  6. Step 6: Final answer
    x = 49,584.86

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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.