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Finding the Fourth Proportional to 81,760.82, 112,860.77 and 47,780.38

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Solution

The fourth proportional to 81,760.82, 112,860.77 and 47,780.38 is: 65,954.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,760.82 : 112,860.77 = 47,780.38 : x
  2. Step 2: Convert to fraction form
    81,760.82/112,860.77 = 47,780.38/x
  3. Step 3: Cross multiply
    81,760.82x = 112,860.77 × 47,780.38
  4. Step 4: Simplify right side
    81,760.82x = 5,392,530,477.69
  5. Step 5: Solve for x
    x = 5,392,530,477.69/81,760.82
  6. Step 6: Final answer
    x = 65,954.95

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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.