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Finding the Fourth Proportional to 31,774.37, 43,849.21 and 17,434.94

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Solution

The fourth proportional to 31,774.37, 43,849.21 and 17,434.94 is: 24,060.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,774.37 : 43,849.21 = 17,434.94 : x
  2. Step 2: Convert to fraction form
    31,774.37/43,849.21 = 17,434.94/x
  3. Step 3: Cross multiply
    31,774.37x = 43,849.21 × 17,434.94
  4. Step 4: Simplify right side
    31,774.37x = 764,508,147.95
  5. Step 5: Solve for x
    x = 764,508,147.95/31,774.37
  6. Step 6: Final answer
    x = 24,060.53

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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.