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Finding the Fourth Proportional to 50,791.87, 75,878.92 and 32,876.57

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Solution

The fourth proportional to 50,791.87, 75,878.92 and 32,876.57 is: 49,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,791.87 : 75,878.92 = 32,876.57 : x
  2. Step 2: Convert to fraction form
    50,791.87/75,878.92 = 32,876.57/x
  3. Step 3: Cross multiply
    50,791.87x = 75,878.92 × 32,876.57
  4. Step 4: Simplify right side
    50,791.87x = 2,494,638,624.90
  5. Step 5: Solve for x
    x = 2,494,638,624.90/50,791.87
  6. Step 6: Final answer
    x = 49,114.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.