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Finding the Fourth Proportional to 57,213.57, 85,808.62 and 21,662.62

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Solution

The fourth proportional to 57,213.57, 85,808.62 and 21,662.62 is: 32,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,213.57 : 85,808.62 = 21,662.62 : x
  2. Step 2: Convert to fraction form
    57,213.57/85,808.62 = 21,662.62/x
  3. Step 3: Cross multiply
    57,213.57x = 85,808.62 × 21,662.62
  4. Step 4: Simplify right side
    57,213.57x = 1,858,839,339.29
  5. Step 5: Solve for x
    x = 1,858,839,339.29/57,213.57
  6. Step 6: Final answer
    x = 32,489.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.