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Finding the Fourth Proportional to 90,197.50, 135,294.83 and 31,033.68

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Solution

The fourth proportional to 90,197.50, 135,294.83 and 31,033.68 is: 46,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,197.50 : 135,294.83 = 31,033.68 : x
  2. Step 2: Convert to fraction form
    90,197.50/135,294.83 = 31,033.68/x
  3. Step 3: Cross multiply
    90,197.50x = 135,294.83 × 31,033.68
  4. Step 4: Simplify right side
    90,197.50x = 4,198,696,459.87
  5. Step 5: Solve for x
    x = 4,198,696,459.87/90,197.50
  6. Step 6: Final answer
    x = 46,550.03

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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.