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Finding the Fourth Proportional to 30,418.14, 45,623.73 and 8,230.20

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Solution

The fourth proportional to 30,418.14, 45,623.73 and 8,230.20 is: 12,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,418.14 : 45,623.73 = 8,230.20 : x
  2. Step 2: Convert to fraction form
    30,418.14/45,623.73 = 8,230.20/x
  3. Step 3: Cross multiply
    30,418.14x = 45,623.73 × 8,230.20
  4. Step 4: Simplify right side
    30,418.14x = 375,492,422.65
  5. Step 5: Solve for x
    x = 375,492,422.65/30,418.14
  6. Step 6: Final answer
    x = 12,344.36

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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.