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Finding the Fourth Proportional to 31,737.42, 43,796.97 and 17,589.96

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Solution

The fourth proportional to 31,737.42, 43,796.97 and 17,589.96 is: 24,273.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,737.42 : 43,796.97 = 17,589.96 : x
  2. Step 2: Convert to fraction form
    31,737.42/43,796.97 = 17,589.96/x
  3. Step 3: Cross multiply
    31,737.42x = 43,796.97 × 17,589.96
  4. Step 4: Simplify right side
    31,737.42x = 770,386,950.42
  5. Step 5: Solve for x
    x = 770,386,950.42/31,737.42
  6. Step 6: Final answer
    x = 24,273.77

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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.