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Finding the Fourth Proportional to 41,318, 57,168.96 and 36,023.84

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Solution

The fourth proportional to 41,318, 57,168.96 and 36,023.84 is: 49,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,318 : 57,168.96 = 36,023.84 : x
  2. Step 2: Convert to fraction form
    41,318/57,168.96 = 36,023.84/x
  3. Step 3: Cross multiply
    41,318x = 57,168.96 × 36,023.84
  4. Step 4: Simplify right side
    41,318x = 2,059,445,468.01
  5. Step 5: Solve for x
    x = 2,059,445,468.01/41,318
  6. Step 6: Final answer
    x = 49,843.78

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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.