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Finding the Fourth Proportional to 27,980.70, 41,932.65 and 22,796.70

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Solution

The fourth proportional to 27,980.70, 41,932.65 and 22,796.70 is: 34,163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,980.70 : 41,932.65 = 22,796.70 : x
  2. Step 2: Convert to fraction form
    27,980.70/41,932.65 = 22,796.70/x
  3. Step 3: Cross multiply
    27,980.70x = 41,932.65 × 22,796.70
  4. Step 4: Simplify right side
    27,980.70x = 955,926,042.26
  5. Step 5: Solve for x
    x = 955,926,042.26/27,980.70
  6. Step 6: Final answer
    x = 34,163.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.