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Finding the Fourth Proportional to 50,684.46, 76,026.89 and 17,414.11

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Solution

The fourth proportional to 50,684.46, 76,026.89 and 17,414.11 is: 26,121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,684.46 : 76,026.89 = 17,414.11 : x
  2. Step 2: Convert to fraction form
    50,684.46/76,026.89 = 17,414.11/x
  3. Step 3: Cross multiply
    50,684.46x = 76,026.89 × 17,414.11
  4. Step 4: Simplify right side
    50,684.46x = 1,323,940,625.42
  5. Step 5: Solve for x
    x = 1,323,940,625.42/50,684.46
  6. Step 6: Final answer
    x = 26,121.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.