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Finding the Fourth Proportional to 38,654.91, 53,354.31 and 22,744.50

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Solution

The fourth proportional to 38,654.91, 53,354.31 and 22,744.50 is: 31,393.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,654.91 : 53,354.31 = 22,744.50 : x
  2. Step 2: Convert to fraction form
    38,654.91/53,354.31 = 22,744.50/x
  3. Step 3: Cross multiply
    38,654.91x = 53,354.31 × 22,744.50
  4. Step 4: Simplify right side
    38,654.91x = 1,213,517,103.80
  5. Step 5: Solve for x
    x = 1,213,517,103.80/38,654.91
  6. Step 6: Final answer
    x = 31,393.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.