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Finding the Fourth Proportional to 83,880.86, 125,865.02 and 33,997.82

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Solution

The fourth proportional to 83,880.86, 125,865.02 and 33,997.82 is: 51,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,880.86 : 125,865.02 = 33,997.82 : x
  2. Step 2: Convert to fraction form
    83,880.86/125,865.02 = 33,997.82/x
  3. Step 3: Cross multiply
    83,880.86x = 125,865.02 × 33,997.82
  4. Step 4: Simplify right side
    83,880.86x = 4,279,135,494.94
  5. Step 5: Solve for x
    x = 4,279,135,494.94/83,880.86
  6. Step 6: Final answer
    x = 51,014.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.