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Finding the Fourth Proportional to 30,450.75, 45,683.42 and 9,674.25

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Solution

The fourth proportional to 30,450.75, 45,683.42 and 9,674.25 is: 14,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,450.75 : 45,683.42 = 9,674.25 : x
  2. Step 2: Convert to fraction form
    30,450.75/45,683.42 = 9,674.25/x
  3. Step 3: Cross multiply
    30,450.75x = 45,683.42 × 9,674.25
  4. Step 4: Simplify right side
    30,450.75x = 441,952,825.94
  5. Step 5: Solve for x
    x = 441,952,825.94/30,450.75
  6. Step 6: Final answer
    x = 14,513.69

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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.