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Finding the Fourth Proportional to 27,755.23, 38,278.01 and 19,672.90

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Solution

The fourth proportional to 27,755.23, 38,278.01 and 19,672.90 is: 27,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,755.23 : 38,278.01 = 19,672.90 : x
  2. Step 2: Convert to fraction form
    27,755.23/38,278.01 = 19,672.90/x
  3. Step 3: Cross multiply
    27,755.23x = 38,278.01 × 19,672.90
  4. Step 4: Simplify right side
    27,755.23x = 753,039,318.05
  5. Step 5: Solve for x
    x = 753,039,318.05/27,755.23
  6. Step 6: Final answer
    x = 27,131.44

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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.