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Finding the Fourth Proportional to 30,243.14, 45,361.59 and 9,182.33

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Solution

The fourth proportional to 30,243.14, 45,361.59 and 9,182.33 is: 13,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,243.14 : 45,361.59 = 9,182.33 : x
  2. Step 2: Convert to fraction form
    30,243.14/45,361.59 = 9,182.33/x
  3. Step 3: Cross multiply
    30,243.14x = 45,361.59 × 9,182.33
  4. Step 4: Simplify right side
    30,243.14x = 416,524,997.57
  5. Step 5: Solve for x
    x = 416,524,997.57/30,243.14
  6. Step 6: Final answer
    x = 13,772.55

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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.