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Finding the Fourth Proportional to 41,427.54, 57,170.07 and 22,564.74

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Solution

The fourth proportional to 41,427.54, 57,170.07 and 22,564.74 is: 31,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,427.54 : 57,170.07 = 22,564.74 : x
  2. Step 2: Convert to fraction form
    41,427.54/57,170.07 = 22,564.74/x
  3. Step 3: Cross multiply
    41,427.54x = 57,170.07 × 22,564.74
  4. Step 4: Simplify right side
    41,427.54x = 1,290,027,765.33
  5. Step 5: Solve for x
    x = 1,290,027,765.33/41,427.54
  6. Step 6: Final answer
    x = 31,139.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.