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Finding the Fourth Proportional to 41,333, 61,999.50 and 12,149

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Solution

The fourth proportional to 41,333, 61,999.50 and 12,149 is: 18,223.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,333 : 61,999.50 = 12,149 : x
  2. Step 2: Convert to fraction form
    41,333/61,999.50 = 12,149/x
  3. Step 3: Cross multiply
    41,333x = 61,999.50 × 12,149
  4. Step 4: Simplify right side
    41,333x = 753,231,925.50
  5. Step 5: Solve for x
    x = 753,231,925.50/41,333
  6. Step 6: Final answer
    x = 18,223.50

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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.