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Finding the Fourth Proportional to 52,077.87, 71,879.13 and 33,896.34

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Solution

The fourth proportional to 52,077.87, 71,879.13 and 33,896.34 is: 46,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,077.87 : 71,879.13 = 33,896.34 : x
  2. Step 2: Convert to fraction form
    52,077.87/71,879.13 = 33,896.34/x
  3. Step 3: Cross multiply
    52,077.87x = 71,879.13 × 33,896.34
  4. Step 4: Simplify right side
    52,077.87x = 2,436,439,429.38
  5. Step 5: Solve for x
    x = 2,436,439,429.38/52,077.87
  6. Step 6: Final answer
    x = 46,784.54

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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.