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Finding the Fourth Proportional to 57,586.82, 86,383.32 and 18,147.02

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Solution

The fourth proportional to 57,586.82, 86,383.32 and 18,147.02 is: 27,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,586.82 : 86,383.32 = 18,147.02 : x
  2. Step 2: Convert to fraction form
    57,586.82/86,383.32 = 18,147.02/x
  3. Step 3: Cross multiply
    57,586.82x = 86,383.32 × 18,147.02
  4. Step 4: Simplify right side
    57,586.82x = 1,567,599,835.71
  5. Step 5: Solve for x
    x = 1,567,599,835.71/57,586.82
  6. Step 6: Final answer
    x = 27,221.50

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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.