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Finding the Fourth Proportional to 57,383.27, 86,072.54 and 19,951.82

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Solution

The fourth proportional to 57,383.27, 86,072.54 and 19,951.82 is: 29,926.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,383.27 : 86,072.54 = 19,951.82 : x
  2. Step 2: Convert to fraction form
    57,383.27/86,072.54 = 19,951.82/x
  3. Step 3: Cross multiply
    57,383.27x = 86,072.54 × 19,951.82
  4. Step 4: Simplify right side
    57,383.27x = 1,717,303,294.90
  5. Step 5: Solve for x
    x = 1,717,303,294.90/57,383.27
  6. Step 6: Final answer
    x = 29,926.90

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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.