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Finding the Fourth Proportional to 57,809.96, 86,624.22 and 34,423.64

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Solution

The fourth proportional to 57,809.96, 86,624.22 and 34,423.64 is: 51,581.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,809.96 : 86,624.22 = 34,423.64 : x
  2. Step 2: Convert to fraction form
    57,809.96/86,624.22 = 34,423.64/x
  3. Step 3: Cross multiply
    57,809.96x = 86,624.22 × 34,423.64
  4. Step 4: Simplify right side
    57,809.96x = 2,981,920,964.56
  5. Step 5: Solve for x
    x = 2,981,920,964.56/57,809.96
  6. Step 6: Final answer
    x = 51,581.44

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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.