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Finding the Fourth Proportional to 70,076.80, 96,704.62 and 38,245.92

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Solution

The fourth proportional to 70,076.80, 96,704.62 and 38,245.92 is: 52,778.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,076.80 : 96,704.62 = 38,245.92 : x
  2. Step 2: Convert to fraction form
    70,076.80/96,704.62 = 38,245.92/x
  3. Step 3: Cross multiply
    70,076.80x = 96,704.62 × 38,245.92
  4. Step 4: Simplify right side
    70,076.80x = 3,698,557,160.15
  5. Step 5: Solve for x
    x = 3,698,557,160.15/70,076.80
  6. Step 6: Final answer
    x = 52,778.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.