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Finding the Fourth Proportional to 31,652.10, 43,673.58 and 17,502.21

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Solution

The fourth proportional to 31,652.10, 43,673.58 and 17,502.21 is: 24,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,652.10 : 43,673.58 = 17,502.21 : x
  2. Step 2: Convert to fraction form
    31,652.10/43,673.58 = 17,502.21/x
  3. Step 3: Cross multiply
    31,652.10x = 43,673.58 × 17,502.21
  4. Step 4: Simplify right side
    31,652.10x = 764,384,168.61
  5. Step 5: Solve for x
    x = 764,384,168.61/31,652.10
  6. Step 6: Final answer
    x = 24,149.56

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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.