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Finding the Fourth Proportional to 100,974.60, 151,469.10 and 30,853.80

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Solution

The fourth proportional to 100,974.60, 151,469.10 and 30,853.80 is: 46,282.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,974.60 : 151,469.10 = 30,853.80 : x
  2. Step 2: Convert to fraction form
    100,974.60/151,469.10 = 30,853.80/x
  3. Step 3: Cross multiply
    100,974.60x = 151,469.10 × 30,853.80
  4. Step 4: Simplify right side
    100,974.60x = 4,673,397,317.58
  5. Step 5: Solve for x
    x = 4,673,397,317.58/100,974.60
  6. Step 6: Final answer
    x = 46,282.90

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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.