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Finding the Fourth Proportional to 41,097.56, 56,714.52 and 22,234.64

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Solution

The fourth proportional to 41,097.56, 56,714.52 and 22,234.64 is: 30,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097.56 : 56,714.52 = 22,234.64 : x
  2. Step 2: Convert to fraction form
    41,097.56/56,714.52 = 22,234.64/x
  3. Step 3: Cross multiply
    41,097.56x = 56,714.52 × 22,234.64
  4. Step 4: Simplify right side
    41,097.56x = 1,261,026,934.97
  5. Step 5: Solve for x
    x = 1,261,026,934.97/41,097.56
  6. Step 6: Final answer
    x = 30,683.74

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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.