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Finding the Fourth Proportional to 30,268.02, 45,406.26 and 8,082.12

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Solution

The fourth proportional to 30,268.02, 45,406.26 and 8,082.12 is: 12,124.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,268.02 : 45,406.26 = 8,082.12 : x
  2. Step 2: Convert to fraction form
    30,268.02/45,406.26 = 8,082.12/x
  3. Step 3: Cross multiply
    30,268.02x = 45,406.26 × 8,082.12
  4. Step 4: Simplify right side
    30,268.02x = 366,978,842.07
  5. Step 5: Solve for x
    x = 366,978,842.07/30,268.02
  6. Step 6: Final answer
    x = 12,124.31

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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.