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Finding the Fourth Proportional to 27,642.72, 38,108.31 and 23,376.63

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Solution

The fourth proportional to 27,642.72, 38,108.31 and 23,376.63 is: 32,227.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.72 : 38,108.31 = 23,376.63 : x
  2. Step 2: Convert to fraction form
    27,642.72/38,108.31 = 23,376.63/x
  3. Step 3: Cross multiply
    27,642.72x = 38,108.31 × 23,376.63
  4. Step 4: Simplify right side
    27,642.72x = 890,843,771.33
  5. Step 5: Solve for x
    x = 890,843,771.33/27,642.72
  6. Step 6: Final answer
    x = 32,227.06

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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.