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Finding the Fourth Proportional to 78,126.12, 117,170.52 and 33,728.58

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Solution

The fourth proportional to 78,126.12, 117,170.52 and 33,728.58 is: 50,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126.12 : 117,170.52 = 33,728.58 : x
  2. Step 2: Convert to fraction form
    78,126.12/117,170.52 = 33,728.58/x
  3. Step 3: Cross multiply
    78,126.12x = 117,170.52 × 33,728.58
  4. Step 4: Simplify right side
    78,126.12x = 3,951,995,257.46
  5. Step 5: Solve for x
    x = 3,951,995,257.46/78,126.12
  6. Step 6: Final answer
    x = 50,584.81

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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.