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Finding the Fourth Proportional to 31,471.51, 43,426.08 and 17,857.43

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Solution

The fourth proportional to 31,471.51, 43,426.08 and 17,857.43 is: 24,640.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.51 : 43,426.08 = 17,857.43 : x
  2. Step 2: Convert to fraction form
    31,471.51/43,426.08 = 17,857.43/x
  3. Step 3: Cross multiply
    31,471.51x = 43,426.08 × 17,857.43
  4. Step 4: Simplify right side
    31,471.51x = 775,478,183.77
  5. Step 5: Solve for x
    x = 775,478,183.77/31,471.51
  6. Step 6: Final answer
    x = 24,640.65

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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.