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Finding the Fourth Proportional to 50,811.62, 76,217.46 and 21,213.32

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Solution

The fourth proportional to 50,811.62, 76,217.46 and 21,213.32 is: 31,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,811.62 : 76,217.46 = 21,213.32 : x
  2. Step 2: Convert to fraction form
    50,811.62/76,217.46 = 21,213.32/x
  3. Step 3: Cross multiply
    50,811.62x = 76,217.46 × 21,213.32
  4. Step 4: Simplify right side
    50,811.62x = 1,616,825,368.57
  5. Step 5: Solve for x
    x = 1,616,825,368.57/50,811.62
  6. Step 6: Final answer
    x = 31,819.99

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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.