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Finding the Fourth Proportional to 57,941.31, 79,963.38 and 32,446.38

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Solution

The fourth proportional to 57,941.31, 79,963.38 and 32,446.38 is: 44,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,941.31 : 79,963.38 = 32,446.38 : x
  2. Step 2: Convert to fraction form
    57,941.31/79,963.38 = 32,446.38/x
  3. Step 3: Cross multiply
    57,941.31x = 79,963.38 × 32,446.38
  4. Step 4: Simplify right side
    57,941.31x = 2,594,522,213.56
  5. Step 5: Solve for x
    x = 2,594,522,213.56/57,941.31
  6. Step 6: Final answer
    x = 44,778.45

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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.