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Finding the Fourth Proportional to 90,651.96, 135,967.14 and 24,096.96

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Solution

The fourth proportional to 90,651.96, 135,967.14 and 24,096.96 is: 36,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,651.96 : 135,967.14 = 24,096.96 : x
  2. Step 2: Convert to fraction form
    90,651.96/135,967.14 = 24,096.96/x
  3. Step 3: Cross multiply
    90,651.96x = 135,967.14 × 24,096.96
  4. Step 4: Simplify right side
    90,651.96x = 3,276,394,733.89
  5. Step 5: Solve for x
    x = 3,276,394,733.89/90,651.96
  6. Step 6: Final answer
    x = 36,142.57

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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.