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Finding the Fourth Proportional to 41,654.64, 57,481.92 and 24,884.40

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Solution

The fourth proportional to 41,654.64, 57,481.92 and 24,884.40 is: 34,339.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,654.64 : 57,481.92 = 24,884.40 : x
  2. Step 2: Convert to fraction form
    41,654.64/57,481.92 = 24,884.40/x
  3. Step 3: Cross multiply
    41,654.64x = 57,481.92 × 24,884.40
  4. Step 4: Simplify right side
    41,654.64x = 1,430,403,090.05
  5. Step 5: Solve for x
    x = 1,430,403,090.05/41,654.64
  6. Step 6: Final answer
    x = 34,339.59

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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.