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Finding the Fourth Proportional to 30,682.53, 45,998.82 and 9,611.73

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Solution

The fourth proportional to 30,682.53, 45,998.82 and 9,611.73 is: 14,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,682.53 : 45,998.82 = 9,611.73 : x
  2. Step 2: Convert to fraction form
    30,682.53/45,998.82 = 9,611.73/x
  3. Step 3: Cross multiply
    30,682.53x = 45,998.82 × 9,611.73
  4. Step 4: Simplify right side
    30,682.53x = 442,128,238.16
  5. Step 5: Solve for x
    x = 442,128,238.16/30,682.53
  6. Step 6: Final answer
    x = 14,409.77

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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.