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Finding the Fourth Proportional to 30,723.30, 46,082.73 and 11,999.82

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Solution

The fourth proportional to 30,723.30, 46,082.73 and 11,999.82 is: 17,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,723.30 : 46,082.73 = 11,999.82 : x
  2. Step 2: Convert to fraction form
    30,723.30/46,082.73 = 11,999.82/x
  3. Step 3: Cross multiply
    30,723.30x = 46,082.73 × 11,999.82
  4. Step 4: Simplify right side
    30,723.30x = 552,984,465.11
  5. Step 5: Solve for x
    x = 552,984,465.11/30,723.30
  6. Step 6: Final answer
    x = 17,998.86

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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.