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Finding the Fourth Proportional to 30,287.33, 45,433.30 and 9,229.16

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Solution

The fourth proportional to 30,287.33, 45,433.30 and 9,229.16 is: 13,844.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.33 : 45,433.30 = 9,229.16 : x
  2. Step 2: Convert to fraction form
    30,287.33/45,433.30 = 9,229.16/x
  3. Step 3: Cross multiply
    30,287.33x = 45,433.30 × 9,229.16
  4. Step 4: Simplify right side
    30,287.33x = 419,311,195.03
  5. Step 5: Solve for x
    x = 419,311,195.03/30,287.33
  6. Step 6: Final answer
    x = 13,844.44

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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.