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Finding the Fourth Proportional to 30,493.10, 45,739.10 and 12,733.31

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Solution

The fourth proportional to 30,493.10, 45,739.10 and 12,733.31 is: 19,099.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.10 : 45,739.10 = 12,733.31 : x
  2. Step 2: Convert to fraction form
    30,493.10/45,739.10 = 12,733.31/x
  3. Step 3: Cross multiply
    30,493.10x = 45,739.10 × 12,733.31
  4. Step 4: Simplify right side
    30,493.10x = 582,409,847.06
  5. Step 5: Solve for x
    x = 582,409,847.06/30,493.10
  6. Step 6: Final answer
    x = 19,099.73

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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.