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Finding the Fourth Proportional to 31,728.27, 47,593.85 and 17,677.68

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Solution

The fourth proportional to 31,728.27, 47,593.85 and 17,677.68 is: 26,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,728.27 : 47,593.85 = 17,677.68 : x
  2. Step 2: Convert to fraction form
    31,728.27/47,593.85 = 17,677.68/x
  3. Step 3: Cross multiply
    31,728.27x = 47,593.85 × 17,677.68
  4. Step 4: Simplify right side
    31,728.27x = 841,348,583.40
  5. Step 5: Solve for x
    x = 841,348,583.40/31,728.27
  6. Step 6: Final answer
    x = 26,517.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.