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Finding the Fourth Proportional to 57,805.20, 86,716.05 and 17,827.55

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Solution

The fourth proportional to 57,805.20, 86,716.05 and 17,827.55 is: 26,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,805.20 : 86,716.05 = 17,827.55 : x
  2. Step 2: Convert to fraction form
    57,805.20/86,716.05 = 17,827.55/x
  3. Step 3: Cross multiply
    57,805.20x = 86,716.05 × 17,827.55
  4. Step 4: Simplify right side
    57,805.20x = 1,545,934,717.18
  5. Step 5: Solve for x
    x = 1,545,934,717.18/57,805.20
  6. Step 6: Final answer
    x = 26,743.87

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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.