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Finding the Fourth Proportional to 33,411.38, 46,168.53 and 31,791.86

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Solution

The fourth proportional to 33,411.38, 46,168.53 and 31,791.86 is: 43,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,411.38 : 46,168.53 = 31,791.86 : x
  2. Step 2: Convert to fraction form
    33,411.38/46,168.53 = 31,791.86/x
  3. Step 3: Cross multiply
    33,411.38x = 46,168.53 × 31,791.86
  4. Step 4: Simplify right side
    33,411.38x = 1,467,783,442.17
  5. Step 5: Solve for x
    x = 1,467,783,442.17/33,411.38
  6. Step 6: Final answer
    x = 43,930.64

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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.