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Finding the Fourth Proportional to 75,635.70, 113,453.55 and 20,231.70

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Solution

The fourth proportional to 75,635.70, 113,453.55 and 20,231.70 is: 30,347.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,635.70 : 113,453.55 = 20,231.70 : x
  2. Step 2: Convert to fraction form
    75,635.70/113,453.55 = 20,231.70/x
  3. Step 3: Cross multiply
    75,635.70x = 113,453.55 × 20,231.70
  4. Step 4: Simplify right side
    75,635.70x = 2,295,358,187.54
  5. Step 5: Solve for x
    x = 2,295,358,187.54/75,635.70
  6. Step 6: Final answer
    x = 30,347.55

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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.