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Finding the Fourth Proportional to 33,059.98, 49,589.87 and 12,000

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Solution

The fourth proportional to 33,059.98, 49,589.87 and 12,000 is: 17,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,059.98 : 49,589.87 = 12,000 : x
  2. Step 2: Convert to fraction form
    33,059.98/49,589.87 = 12,000/x
  3. Step 3: Cross multiply
    33,059.98x = 49,589.87 × 12,000
  4. Step 4: Simplify right side
    33,059.98x = 595,078,440
  5. Step 5: Solve for x
    x = 595,078,440/33,059.98
  6. Step 6: Final answer
    x = 17,999.96

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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.