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Finding the Fourth Proportional to 41,097.32, 56,714.08 and 22,234.40

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Solution

The fourth proportional to 41,097.32, 56,714.08 and 22,234.40 is: 30,683.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,097.32 : 56,714.08 = 22,234.40 : x
  2. Step 2: Convert to fraction form
    41,097.32/56,714.08 = 22,234.40/x
  3. Step 3: Cross multiply
    41,097.32x = 56,714.08 × 22,234.40
  4. Step 4: Simplify right side
    41,097.32x = 1,261,003,540.35
  5. Step 5: Solve for x
    x = 1,261,003,540.35/41,097.32
  6. Step 6: Final answer
    x = 30,683.35

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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.