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Finding the Fourth Proportional to 83,967.62, 115,855.44 and 47,660.98

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Solution

The fourth proportional to 83,967.62, 115,855.44 and 47,660.98 is: 65,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,967.62 : 115,855.44 = 47,660.98 : x
  2. Step 2: Convert to fraction form
    83,967.62/115,855.44 = 47,660.98/x
  3. Step 3: Cross multiply
    83,967.62x = 115,855.44 × 47,660.98
  4. Step 4: Simplify right side
    83,967.62x = 5,521,783,808.73
  5. Step 5: Solve for x
    x = 5,521,783,808.73/83,967.62
  6. Step 6: Final answer
    x = 65,760.87

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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.