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Finding the Fourth Proportional to 57,258.68, 85,896.12 and 22,201.88

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Solution

The fourth proportional to 57,258.68, 85,896.12 and 22,201.88 is: 33,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,258.68 : 85,896.12 = 22,201.88 : x
  2. Step 2: Convert to fraction form
    57,258.68/85,896.12 = 22,201.88/x
  3. Step 3: Cross multiply
    57,258.68x = 85,896.12 × 22,201.88
  4. Step 4: Simplify right side
    57,258.68x = 1,907,054,919.23
  5. Step 5: Solve for x
    x = 1,907,054,919.23/57,258.68
  6. Step 6: Final answer
    x = 33,305.96

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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.