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Finding the Fourth Proportional to 41,333, 61,999.54 and 13,631

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Solution

The fourth proportional to 41,333, 61,999.54 and 13,631 is: 20,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,333 : 61,999.54 = 13,631 : x
  2. Step 2: Convert to fraction form
    41,333/61,999.54 = 13,631/x
  3. Step 3: Cross multiply
    41,333x = 61,999.54 × 13,631
  4. Step 4: Simplify right side
    41,333x = 845,115,729.74
  5. Step 5: Solve for x
    x = 845,115,729.74/41,333
  6. Step 6: Final answer
    x = 20,446.51

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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.