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Finding the Fourth Proportional to 31,767.71, 43,840.02 and 17,428.27

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Solution

The fourth proportional to 31,767.71, 43,840.02 and 17,428.27 is: 24,051.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,767.71 : 43,840.02 = 17,428.27 : x
  2. Step 2: Convert to fraction form
    31,767.71/43,840.02 = 17,428.27/x
  3. Step 3: Cross multiply
    31,767.71x = 43,840.02 × 17,428.27
  4. Step 4: Simplify right side
    31,767.71x = 764,055,705.37
  5. Step 5: Solve for x
    x = 764,055,705.37/31,767.71
  6. Step 6: Final answer
    x = 24,051.33

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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.