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Finding the Fourth Proportional to 31,076.73, 46,626.44 and 19,399.77

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Solution

The fourth proportional to 31,076.73, 46,626.44 and 19,399.77 is: 29,106.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,076.73 : 46,626.44 = 19,399.77 : x
  2. Step 2: Convert to fraction form
    31,076.73/46,626.44 = 19,399.77/x
  3. Step 3: Cross multiply
    31,076.73x = 46,626.44 × 19,399.77
  4. Step 4: Simplify right side
    31,076.73x = 904,542,114.92
  5. Step 5: Solve for x
    x = 904,542,114.92/31,076.73
  6. Step 6: Final answer
    x = 29,106.73

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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.