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Finding the Fourth Proportional to 50,873.42, 76,216.50 and 31,894.44

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Solution

The fourth proportional to 50,873.42, 76,216.50 and 31,894.44 is: 47,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,873.42 : 76,216.50 = 31,894.44 : x
  2. Step 2: Convert to fraction form
    50,873.42/76,216.50 = 31,894.44/x
  3. Step 3: Cross multiply
    50,873.42x = 76,216.50 × 31,894.44
  4. Step 4: Simplify right side
    50,873.42x = 2,430,882,586.26
  5. Step 5: Solve for x
    x = 2,430,882,586.26/50,873.42
  6. Step 6: Final answer
    x = 47,782.96

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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.