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Finding the Fourth Proportional to 31,997.88, 44,164.98 and 19,433.16

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Solution

The fourth proportional to 31,997.88, 44,164.98 and 19,433.16 is: 26,822.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,997.88 : 44,164.98 = 19,433.16 : x
  2. Step 2: Convert to fraction form
    31,997.88/44,164.98 = 19,433.16/x
  3. Step 3: Cross multiply
    31,997.88x = 44,164.98 × 19,433.16
  4. Step 4: Simplify right side
    31,997.88x = 858,265,122.74
  5. Step 5: Solve for x
    x = 858,265,122.74/31,997.88
  6. Step 6: Final answer
    x = 26,822.56

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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.