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Finding the Fourth Proportional to 41,072.66, 56,678.90 and 23,167

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Solution

The fourth proportional to 41,072.66, 56,678.90 and 23,167 is: 31,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,072.66 : 56,678.90 = 23,167 : x
  2. Step 2: Convert to fraction form
    41,072.66/56,678.90 = 23,167/x
  3. Step 3: Cross multiply
    41,072.66x = 56,678.90 × 23,167
  4. Step 4: Simplify right side
    41,072.66x = 1,313,080,076.30
  5. Step 5: Solve for x
    x = 1,313,080,076.30/41,072.66
  6. Step 6: Final answer
    x = 31,969.69

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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.