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Finding the Fourth Proportional to 40,084.24, 60,096 and 24,286

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Solution

The fourth proportional to 40,084.24, 60,096 and 24,286 is: 36,410.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,084.24 : 60,096 = 24,286 : x
  2. Step 2: Convert to fraction form
    40,084.24/60,096 = 24,286/x
  3. Step 3: Cross multiply
    40,084.24x = 60,096 × 24,286
  4. Step 4: Simplify right side
    40,084.24x = 1,459,491,456
  5. Step 5: Solve for x
    x = 1,459,491,456/40,084.24
  6. Step 6: Final answer
    x = 36,410.61

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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.