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Finding the Fourth Proportional to 31,533.82, 43,517.01 and 17,193.53

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Solution

The fourth proportional to 31,533.82, 43,517.01 and 17,193.53 is: 23,727.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,533.82 : 43,517.01 = 17,193.53 : x
  2. Step 2: Convert to fraction form
    31,533.82/43,517.01 = 17,193.53/x
  3. Step 3: Cross multiply
    31,533.82x = 43,517.01 × 17,193.53
  4. Step 4: Simplify right side
    31,533.82x = 748,211,190.21
  5. Step 5: Solve for x
    x = 748,211,190.21/31,533.82
  6. Step 6: Final answer
    x = 23,727.26

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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.