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Finding the Fourth Proportional to 122,744.26, 184,034.84 and 47,871.41

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Solution

The fourth proportional to 122,744.26, 184,034.84 and 47,871.41 is: 71,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,744.26 : 184,034.84 = 47,871.41 : x
  2. Step 2: Convert to fraction form
    122,744.26/184,034.84 = 47,871.41/x
  3. Step 3: Cross multiply
    122,744.26x = 184,034.84 × 47,871.41
  4. Step 4: Simplify right side
    122,744.26x = 8,810,006,120.39
  5. Step 5: Solve for x
    x = 8,810,006,120.39/122,744.26
  6. Step 6: Final answer
    x = 71,775.30

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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.