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Finding the Fourth Proportional to 30,131.82, 45,183.15 and 10,403.46

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Solution

The fourth proportional to 30,131.82, 45,183.15 and 10,403.46 is: 15,600.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,131.82 : 45,183.15 = 10,403.46 : x
  2. Step 2: Convert to fraction form
    30,131.82/45,183.15 = 10,403.46/x
  3. Step 3: Cross multiply
    30,131.82x = 45,183.15 × 10,403.46
  4. Step 4: Simplify right side
    30,131.82x = 470,061,093.70
  5. Step 5: Solve for x
    x = 470,061,093.70/30,131.82
  6. Step 6: Final answer
    x = 15,600.16

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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.