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Finding the Fourth Proportional to 40,409.82, 55,760.65 and 23,181.29

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Solution

The fourth proportional to 40,409.82, 55,760.65 and 23,181.29 is: 31,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,409.82 : 55,760.65 = 23,181.29 : x
  2. Step 2: Convert to fraction form
    40,409.82/55,760.65 = 23,181.29/x
  3. Step 3: Cross multiply
    40,409.82x = 55,760.65 × 23,181.29
  4. Step 4: Simplify right side
    40,409.82x = 1,292,603,879.69
  5. Step 5: Solve for x
    x = 1,292,603,879.69/40,409.82
  6. Step 6: Final answer
    x = 31,987.37

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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.