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Finding the Fourth Proportional to 41,498.01, 57,267.14 and 22,635

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Solution

The fourth proportional to 41,498.01, 57,267.14 and 22,635 is: 31,236.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,498.01 : 57,267.14 = 22,635 : x
  2. Step 2: Convert to fraction form
    41,498.01/57,267.14 = 22,635/x
  3. Step 3: Cross multiply
    41,498.01x = 57,267.14 × 22,635
  4. Step 4: Simplify right side
    41,498.01x = 1,296,241,600.73
  5. Step 5: Solve for x
    x = 1,296,241,600.73/41,498.01
  6. Step 6: Final answer
    x = 31,236.24

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