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Finding the Fourth Proportional to 90,198.50, 135,296.33 and 31,034.68

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Solution

The fourth proportional to 90,198.50, 135,296.33 and 31,034.68 is: 46,551.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,198.50 : 135,296.33 = 31,034.68 : x
  2. Step 2: Convert to fraction form
    90,198.50/135,296.33 = 31,034.68/x
  3. Step 3: Cross multiply
    90,198.50x = 135,296.33 × 31,034.68
  4. Step 4: Simplify right side
    90,198.50x = 4,198,878,306.72
  5. Step 5: Solve for x
    x = 4,198,878,306.72/90,198.50
  6. Step 6: Final answer
    x = 46,551.53

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Why These Related Problems?

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