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Finding the Fourth Proportional to 57,682.71, 86,523.49 and 18,239.82

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Solution

The fourth proportional to 57,682.71, 86,523.49 and 18,239.82 is: 27,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,682.71 : 86,523.49 = 18,239.82 : x
  2. Step 2: Convert to fraction form
    57,682.71/86,523.49 = 18,239.82/x
  3. Step 3: Cross multiply
    57,682.71x = 86,523.49 × 18,239.82
  4. Step 4: Simplify right side
    57,682.71x = 1,578,172,883.37
  5. Step 5: Solve for x
    x = 1,578,172,883.37/57,682.71
  6. Step 6: Final answer
    x = 27,359.55

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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.