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Finding the Fourth Proportional to 31,243.93, 46,879.54 and 20,172.24

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Solution

The fourth proportional to 31,243.93, 46,879.54 and 20,172.24 is: 30,267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,243.93 : 46,879.54 = 20,172.24 : x
  2. Step 2: Convert to fraction form
    31,243.93/46,879.54 = 20,172.24/x
  3. Step 3: Cross multiply
    31,243.93x = 46,879.54 × 20,172.24
  4. Step 4: Simplify right side
    31,243.93x = 945,665,281.54
  5. Step 5: Solve for x
    x = 945,665,281.54/31,243.93
  6. Step 6: Final answer
    x = 30,267.17

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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.