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Finding the Fourth Proportional to 89,126.82, 133,690.46 and 22,566.96

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Solution

The fourth proportional to 89,126.82, 133,690.46 and 22,566.96 is: 33,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,126.82 : 133,690.46 = 22,566.96 : x
  2. Step 2: Convert to fraction form
    89,126.82/133,690.46 = 22,566.96/x
  3. Step 3: Cross multiply
    89,126.82x = 133,690.46 × 22,566.96
  4. Step 4: Simplify right side
    89,126.82x = 3,016,987,263.20
  5. Step 5: Solve for x
    x = 3,016,987,263.20/89,126.82
  6. Step 6: Final answer
    x = 33,850.50

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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.