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Finding the Fourth Proportional to 90,194.74, 135,254.06 and 27,023.85

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Solution

The fourth proportional to 90,194.74, 135,254.06 and 27,023.85 is: 40,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,194.74 : 135,254.06 = 27,023.85 : x
  2. Step 2: Convert to fraction form
    90,194.74/135,254.06 = 27,023.85/x
  3. Step 3: Cross multiply
    90,194.74x = 135,254.06 × 27,023.85
  4. Step 4: Simplify right side
    90,194.74x = 3,655,085,429.33
  5. Step 5: Solve for x
    x = 3,655,085,429.33/90,194.74
  6. Step 6: Final answer
    x = 40,524.37

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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.