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Finding the Fourth Proportional to 41,407.66, 57,138.28 and 23,260.42

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Solution

The fourth proportional to 41,407.66, 57,138.28 and 23,260.42 is: 32,096.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,407.66 : 57,138.28 = 23,260.42 : x
  2. Step 2: Convert to fraction form
    41,407.66/57,138.28 = 23,260.42/x
  3. Step 3: Cross multiply
    41,407.66x = 57,138.28 × 23,260.42
  4. Step 4: Simplify right side
    41,407.66x = 1,329,060,390.88
  5. Step 5: Solve for x
    x = 1,329,060,390.88/41,407.66
  6. Step 6: Final answer
    x = 32,096.97

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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.