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Finding the Fourth Proportional to 30,969.18, 46,454.16 and 12,241.14

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Solution

The fourth proportional to 30,969.18, 46,454.16 and 12,241.14 is: 18,361.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969.18 : 46,454.16 = 12,241.14 : x
  2. Step 2: Convert to fraction form
    30,969.18/46,454.16 = 12,241.14/x
  3. Step 3: Cross multiply
    30,969.18x = 46,454.16 × 12,241.14
  4. Step 4: Simplify right side
    30,969.18x = 568,651,876.14
  5. Step 5: Solve for x
    x = 568,651,876.14/30,969.18
  6. Step 6: Final answer
    x = 18,361.86

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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.