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Finding the Fourth Proportional to 57,890.72, 86,832.74 and 22,345.09

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Solution

The fourth proportional to 57,890.72, 86,832.74 and 22,345.09 is: 33,516.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,890.72 : 86,832.74 = 22,345.09 : x
  2. Step 2: Convert to fraction form
    57,890.72/86,832.74 = 22,345.09/x
  3. Step 3: Cross multiply
    57,890.72x = 86,832.74 × 22,345.09
  4. Step 4: Simplify right side
    57,890.72x = 1,940,285,229.03
  5. Step 5: Solve for x
    x = 1,940,285,229.03/57,890.72
  6. Step 6: Final answer
    x = 33,516.34

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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.