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Finding the Fourth Proportional to 31,920.50, 44,056.96 and 19,174.27

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Solution

The fourth proportional to 31,920.50, 44,056.96 and 19,174.27 is: 26,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.50 : 44,056.96 = 19,174.27 : x
  2. Step 2: Convert to fraction form
    31,920.50/44,056.96 = 19,174.27/x
  3. Step 3: Cross multiply
    31,920.50x = 44,056.96 × 19,174.27
  4. Step 4: Simplify right side
    31,920.50x = 844,760,046.42
  5. Step 5: Solve for x
    x = 844,760,046.42/31,920.50
  6. Step 6: Final answer
    x = 26,464.50

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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.