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Finding the Fourth Proportional to 66,096, 91,213.92 and 36,288

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Solution

The fourth proportional to 66,096, 91,213.92 and 36,288 is: 50,078.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,096 : 91,213.92 = 36,288 : x
  2. Step 2: Convert to fraction form
    66,096/91,213.92 = 36,288/x
  3. Step 3: Cross multiply
    66,096x = 91,213.92 × 36,288
  4. Step 4: Simplify right side
    66,096x = 3,309,970,728.96
  5. Step 5: Solve for x
    x = 3,309,970,728.96/66,096
  6. Step 6: Final answer
    x = 50,078.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.