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Finding the Fourth Proportional to 53,797.56, 80,729.22 and 31,654.20

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Solution

The fourth proportional to 53,797.56, 80,729.22 and 31,654.20 is: 47,500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,797.56 : 80,729.22 = 31,654.20 : x
  2. Step 2: Convert to fraction form
    53,797.56/80,729.22 = 31,654.20/x
  3. Step 3: Cross multiply
    53,797.56x = 80,729.22 × 31,654.20
  4. Step 4: Simplify right side
    53,797.56x = 2,555,418,875.72
  5. Step 5: Solve for x
    x = 2,555,418,875.72/53,797.56
  6. Step 6: Final answer
    x = 47,500.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.