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Finding the Fourth Proportional to 75,496.56, 113,245.20 and 22,906.50

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Solution

The fourth proportional to 75,496.56, 113,245.20 and 22,906.50 is: 34,359.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,496.56 : 113,245.20 = 22,906.50 : x
  2. Step 2: Convert to fraction form
    75,496.56/113,245.20 = 22,906.50/x
  3. Step 3: Cross multiply
    75,496.56x = 113,245.20 × 22,906.50
  4. Step 4: Simplify right side
    75,496.56x = 2,594,051,173.80
  5. Step 5: Solve for x
    x = 2,594,051,173.80/75,496.56
  6. Step 6: Final answer
    x = 34,359.86

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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.