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Finding the Fourth Proportional to 50,924.54, 76,276.10 and 31,143.26

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Solution

The fourth proportional to 50,924.54, 76,276.10 and 31,143.26 is: 46,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,924.54 : 76,276.10 = 31,143.26 : x
  2. Step 2: Convert to fraction form
    50,924.54/76,276.10 = 31,143.26/x
  3. Step 3: Cross multiply
    50,924.54x = 76,276.10 × 31,143.26
  4. Step 4: Simplify right side
    50,924.54x = 2,375,486,414.09
  5. Step 5: Solve for x
    x = 2,375,486,414.09/50,924.54
  6. Step 6: Final answer
    x = 46,647.18

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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.