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Finding the Fourth Proportional to 90,434.48, 135,657.84 and 33,513.68

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Solution

The fourth proportional to 90,434.48, 135,657.84 and 33,513.68 is: 50,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,434.48 : 135,657.84 = 33,513.68 : x
  2. Step 2: Convert to fraction form
    90,434.48/135,657.84 = 33,513.68/x
  3. Step 3: Cross multiply
    90,434.48x = 135,657.84 × 33,513.68
  4. Step 4: Simplify right side
    90,434.48x = 4,546,393,439.25
  5. Step 5: Solve for x
    x = 4,546,393,439.25/90,434.48
  6. Step 6: Final answer
    x = 50,272.79

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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.