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Finding the Fourth Proportional to 52,879.78, 72,972.81 and 34,016.86

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Solution

The fourth proportional to 52,879.78, 72,972.81 and 34,016.86 is: 46,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,879.78 : 72,972.81 = 34,016.86 : x
  2. Step 2: Convert to fraction form
    52,879.78/72,972.81 = 34,016.86/x
  3. Step 3: Cross multiply
    52,879.78x = 72,972.81 × 34,016.86
  4. Step 4: Simplify right side
    52,879.78x = 2,482,305,861.58
  5. Step 5: Solve for x
    x = 2,482,305,861.58/52,879.78
  6. Step 6: Final answer
    x = 46,942.44

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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.