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Finding the Fourth Proportional to 51,906.42, 71,556.21 and 36,976.50

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Solution

The fourth proportional to 51,906.42, 71,556.21 and 36,976.50 is: 50,974.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.42 : 71,556.21 = 36,976.50 : x
  2. Step 2: Convert to fraction form
    51,906.42/71,556.21 = 36,976.50/x
  3. Step 3: Cross multiply
    51,906.42x = 71,556.21 × 36,976.50
  4. Step 4: Simplify right side
    51,906.42x = 2,645,898,199.07
  5. Step 5: Solve for x
    x = 2,645,898,199.07/51,906.42
  6. Step 6: Final answer
    x = 50,974.39

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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.