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Finding the Fourth Proportional to 41,096.96, 56,654.88 and 27,644.48

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Solution

The fourth proportional to 41,096.96, 56,654.88 and 27,644.48 is: 38,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,096.96 : 56,654.88 = 27,644.48 : x
  2. Step 2: Convert to fraction form
    41,096.96/56,654.88 = 27,644.48/x
  3. Step 3: Cross multiply
    41,096.96x = 56,654.88 × 27,644.48
  4. Step 4: Simplify right side
    41,096.96x = 1,566,194,697.06
  5. Step 5: Solve for x
    x = 1,566,194,697.06/41,096.96
  6. Step 6: Final answer
    x = 38,109.75

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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.