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Finding the Fourth Proportional to 30,911.46, 46,328.31 and 22,163.46

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Solution

The fourth proportional to 30,911.46, 46,328.31 and 22,163.46 is: 33,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,911.46 : 46,328.31 = 22,163.46 : x
  2. Step 2: Convert to fraction form
    30,911.46/46,328.31 = 22,163.46/x
  3. Step 3: Cross multiply
    30,911.46x = 46,328.31 × 22,163.46
  4. Step 4: Simplify right side
    30,911.46x = 1,026,795,645.55
  5. Step 5: Solve for x
    x = 1,026,795,645.55/30,911.46
  6. Step 6: Final answer
    x = 33,217.31

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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.