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Finding the Fourth Proportional to 30,847.98, 46,274.67 and 8,661.54

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Solution

The fourth proportional to 30,847.98, 46,274.67 and 8,661.54 is: 12,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,847.98 : 46,274.67 = 8,661.54 : x
  2. Step 2: Convert to fraction form
    30,847.98/46,274.67 = 8,661.54/x
  3. Step 3: Cross multiply
    30,847.98x = 46,274.67 × 8,661.54
  4. Step 4: Simplify right side
    30,847.98x = 400,809,905.19
  5. Step 5: Solve for x
    x = 400,809,905.19/30,847.98
  6. Step 6: Final answer
    x = 12,993.07

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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.