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Finding the Fourth Proportional to 100,033.58, 149,972.44 and 50,087.96

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Solution

The fourth proportional to 100,033.58, 149,972.44 and 50,087.96 is: 75,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,033.58 : 149,972.44 = 50,087.96 : x
  2. Step 2: Convert to fraction form
    100,033.58/149,972.44 = 50,087.96/x
  3. Step 3: Cross multiply
    100,033.58x = 149,972.44 × 50,087.96
  4. Step 4: Simplify right side
    100,033.58x = 7,511,813,575.82
  5. Step 5: Solve for x
    x = 7,511,813,575.82/100,033.58
  6. Step 6: Final answer
    x = 75,092.92

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1.5x scale

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.