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Finding the Fourth Proportional to 50,942.76, 76,401.18 and 19,761

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Solution

The fourth proportional to 50,942.76, 76,401.18 and 19,761 is: 29,636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,942.76 : 76,401.18 = 19,761 : x
  2. Step 2: Convert to fraction form
    50,942.76/76,401.18 = 19,761/x
  3. Step 3: Cross multiply
    50,942.76x = 76,401.18 × 19,761
  4. Step 4: Simplify right side
    50,942.76x = 1,509,763,717.98
  5. Step 5: Solve for x
    x = 1,509,763,717.98/50,942.76
  6. Step 6: Final answer
    x = 29,636.47

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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.