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Finding the Fourth Proportional to 31,649.27, 43,675.83 and 17,502.12

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Solution

The fourth proportional to 31,649.27, 43,675.83 and 17,502.12 is: 24,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.27 : 43,675.83 = 17,502.12 : x
  2. Step 2: Convert to fraction form
    31,649.27/43,675.83 = 17,502.12/x
  3. Step 3: Cross multiply
    31,649.27x = 43,675.83 × 17,502.12
  4. Step 4: Simplify right side
    31,649.27x = 764,419,617.76
  5. Step 5: Solve for x
    x = 764,419,617.76/31,649.27
  6. Step 6: Final answer
    x = 24,152.84

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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.