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Finding the Fourth Proportional to 56,092.56, 84,171 and 22,806.48

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Solution

The fourth proportional to 56,092.56, 84,171 and 22,806.48 is: 34,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,092.56 : 84,171 = 22,806.48 : x
  2. Step 2: Convert to fraction form
    56,092.56/84,171 = 22,806.48/x
  3. Step 3: Cross multiply
    56,092.56x = 84,171 × 22,806.48
  4. Step 4: Simplify right side
    56,092.56x = 1,919,644,228.08
  5. Step 5: Solve for x
    x = 1,919,644,228.08/56,092.56
  6. Step 6: Final answer
    x = 34,222.80

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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.