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Finding the Fourth Proportional to 82,786.62, 124,200.89 and 23,622.50

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Solution

The fourth proportional to 82,786.62, 124,200.89 and 23,622.50 is: 35,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,786.62 : 124,200.89 = 23,622.50 : x
  2. Step 2: Convert to fraction form
    82,786.62/124,200.89 = 23,622.50/x
  3. Step 3: Cross multiply
    82,786.62x = 124,200.89 × 23,622.50
  4. Step 4: Simplify right side
    82,786.62x = 2,933,935,524.03
  5. Step 5: Solve for x
    x = 2,933,935,524.03/82,786.62
  6. Step 6: Final answer
    x = 35,439.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.