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Finding the Fourth Proportional to 30,287.85, 45,433.32 and 9,226.25

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Solution

The fourth proportional to 30,287.85, 45,433.32 and 9,226.25 is: 13,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.85 : 45,433.32 = 9,226.25 : x
  2. Step 2: Convert to fraction form
    30,287.85/45,433.32 = 9,226.25/x
  3. Step 3: Cross multiply
    30,287.85x = 45,433.32 × 9,226.25
  4. Step 4: Simplify right side
    30,287.85x = 419,179,168.65
  5. Step 5: Solve for x
    x = 419,179,168.65/30,287.85
  6. Step 6: Final answer
    x = 13,839.85

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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.