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Finding the Fourth Proportional to 30,499.44, 45,753.60 and 9,441.24

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Solution

The fourth proportional to 30,499.44, 45,753.60 and 9,441.24 is: 14,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,499.44 : 45,753.60 = 9,441.24 : x
  2. Step 2: Convert to fraction form
    30,499.44/45,753.60 = 9,441.24/x
  3. Step 3: Cross multiply
    30,499.44x = 45,753.60 × 9,441.24
  4. Step 4: Simplify right side
    30,499.44x = 431,970,718.46
  5. Step 5: Solve for x
    x = 431,970,718.46/30,499.44
  6. Step 6: Final answer
    x = 14,163.23

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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.