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Finding the Fourth Proportional to 122,761.49, 184,150.02 and 38,524.98

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Solution

The fourth proportional to 122,761.49, 184,150.02 and 38,524.98 is: 57,789.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,761.49 : 184,150.02 = 38,524.98 : x
  2. Step 2: Convert to fraction form
    122,761.49/184,150.02 = 38,524.98/x
  3. Step 3: Cross multiply
    122,761.49x = 184,150.02 × 38,524.98
  4. Step 4: Simplify right side
    122,761.49x = 7,094,375,837.50
  5. Step 5: Solve for x
    x = 7,094,375,837.50/122,761.49
  6. Step 6: Final answer
    x = 57,789.91

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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.