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Finding the Fourth Proportional to 81,270.38, 121,874.06 and 27,952.22

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Solution

The fourth proportional to 81,270.38, 121,874.06 and 27,952.22 is: 41,917.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,270.38 : 121,874.06 = 27,952.22 : x
  2. Step 2: Convert to fraction form
    81,270.38/121,874.06 = 27,952.22/x
  3. Step 3: Cross multiply
    81,270.38x = 121,874.06 × 27,952.22
  4. Step 4: Simplify right side
    81,270.38x = 3,406,650,911.98
  5. Step 5: Solve for x
    x = 3,406,650,911.98/81,270.38
  6. Step 6: Final answer
    x = 41,917.50

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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.