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Finding the Fourth Proportional to 30,450.25, 45,682.67 and 9,673.75

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Solution

The fourth proportional to 30,450.25, 45,682.67 and 9,673.75 is: 14,512.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,450.25 : 45,682.67 = 9,673.75 : x
  2. Step 2: Convert to fraction form
    30,450.25/45,682.67 = 9,673.75/x
  3. Step 3: Cross multiply
    30,450.25x = 45,682.67 × 9,673.75
  4. Step 4: Simplify right side
    30,450.25x = 441,922,680.54
  5. Step 5: Solve for x
    x = 441,922,680.54/30,450.25
  6. Step 6: Final answer
    x = 14,512.94

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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.