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Finding the Fourth Proportional to 57,861.94, 86,825.70 and 22,826.20

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Solution

The fourth proportional to 57,861.94, 86,825.70 and 22,826.20 is: 34,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,861.94 : 86,825.70 = 22,826.20 : x
  2. Step 2: Convert to fraction form
    57,861.94/86,825.70 = 22,826.20/x
  3. Step 3: Cross multiply
    57,861.94x = 86,825.70 × 22,826.20
  4. Step 4: Simplify right side
    57,861.94x = 1,981,900,793.34
  5. Step 5: Solve for x
    x = 1,981,900,793.34/57,861.94
  6. Step 6: Final answer
    x = 34,252.24

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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.