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Finding the Fourth Proportional to 70,137.72, 96,793.20 and 38,306.88

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Solution

The fourth proportional to 70,137.72, 96,793.20 and 38,306.88 is: 52,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,137.72 : 96,793.20 = 38,306.88 : x
  2. Step 2: Convert to fraction form
    70,137.72/96,793.20 = 38,306.88/x
  3. Step 3: Cross multiply
    70,137.72x = 96,793.20 × 38,306.88
  4. Step 4: Simplify right side
    70,137.72x = 3,707,845,497.22
  5. Step 5: Solve for x
    x = 3,707,845,497.22/70,137.72
  6. Step 6: Final answer
    x = 52,865.21

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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.