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Finding the Fourth Proportional to 81,964.38, 113,107.79 and 45,664.97

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Solution

The fourth proportional to 81,964.38, 113,107.79 and 45,664.97 is: 63,015.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,964.38 : 113,107.79 = 45,664.97 : x
  2. Step 2: Convert to fraction form
    81,964.38/113,107.79 = 45,664.97/x
  3. Step 3: Cross multiply
    81,964.38x = 113,107.79 × 45,664.97
  4. Step 4: Simplify right side
    81,964.38x = 5,165,063,043.25
  5. Step 5: Solve for x
    x = 5,165,063,043.25/81,964.38
  6. Step 6: Final answer
    x = 63,015.95

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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.