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Finding the Fourth Proportional to 83,913.94, 125,871.25 and 33,994.98

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Solution

The fourth proportional to 83,913.94, 125,871.25 and 33,994.98 is: 50,992.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,913.94 : 125,871.25 = 33,994.98 : x
  2. Step 2: Convert to fraction form
    83,913.94/125,871.25 = 33,994.98/x
  3. Step 3: Cross multiply
    83,913.94x = 125,871.25 × 33,994.98
  4. Step 4: Simplify right side
    83,913.94x = 4,278,990,626.33
  5. Step 5: Solve for x
    x = 4,278,990,626.33/83,913.94
  6. Step 6: Final answer
    x = 50,992.61

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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.