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Finding the Fourth Proportional to 89,198.52, 133,797.84 and 22,643.64

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Solution

The fourth proportional to 89,198.52, 133,797.84 and 22,643.64 is: 33,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,198.52 : 133,797.84 = 22,643.64 : x
  2. Step 2: Convert to fraction form
    89,198.52/133,797.84 = 22,643.64/x
  3. Step 3: Cross multiply
    89,198.52x = 133,797.84 × 22,643.64
  4. Step 4: Simplify right side
    89,198.52x = 3,029,670,121.74
  5. Step 5: Solve for x
    x = 3,029,670,121.74/89,198.52
  6. Step 6: Final answer
    x = 33,965.48

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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.