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Finding the Fourth Proportional to 44,941, 67,411.50 and 12,109

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Solution

The fourth proportional to 44,941, 67,411.50 and 12,109 is: 18,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,941 : 67,411.50 = 12,109 : x
  2. Step 2: Convert to fraction form
    44,941/67,411.50 = 12,109/x
  3. Step 3: Cross multiply
    44,941x = 67,411.50 × 12,109
  4. Step 4: Simplify right side
    44,941x = 816,285,853.50
  5. Step 5: Solve for x
    x = 816,285,853.50/44,941
  6. Step 6: Final answer
    x = 18,163.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.