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Finding the Fourth Proportional to 56,227.60, 84,258 and 22,906.96

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Solution

The fourth proportional to 56,227.60, 84,258 and 22,906.96 is: 34,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,227.60 : 84,258 = 22,906.96 : x
  2. Step 2: Convert to fraction form
    56,227.60/84,258 = 22,906.96/x
  3. Step 3: Cross multiply
    56,227.60x = 84,258 × 22,906.96
  4. Step 4: Simplify right side
    56,227.60x = 1,930,094,635.68
  5. Step 5: Solve for x
    x = 1,930,094,635.68/56,227.60
  6. Step 6: Final answer
    x = 34,326.46

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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.