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Finding the Fourth Proportional to 90,195.31, 135,291.55 and 31,031.49

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Solution

The fourth proportional to 90,195.31, 135,291.55 and 31,031.49 is: 46,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,195.31 : 135,291.55 = 31,031.49 : x
  2. Step 2: Convert to fraction form
    90,195.31/135,291.55 = 31,031.49/x
  3. Step 3: Cross multiply
    90,195.31x = 135,291.55 × 31,031.49
  4. Step 4: Simplify right side
    90,195.31x = 4,198,298,380.91
  5. Step 5: Solve for x
    x = 4,198,298,380.91/90,195.31
  6. Step 6: Final answer
    x = 46,546.75

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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.