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Finding the Fourth Proportional to 30,720.25, 46,080.33 and 9,662.14

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Solution

The fourth proportional to 30,720.25, 46,080.33 and 9,662.14 is: 14,493.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720.25 : 46,080.33 = 9,662.14 : x
  2. Step 2: Convert to fraction form
    30,720.25/46,080.33 = 9,662.14/x
  3. Step 3: Cross multiply
    30,720.25x = 46,080.33 × 9,662.14
  4. Step 4: Simplify right side
    30,720.25x = 445,234,361.87
  5. Step 5: Solve for x
    x = 445,234,361.87/30,720.25
  6. Step 6: Final answer
    x = 14,493.19

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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.