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Finding the Fourth Proportional to 81,933.67, 122,897.41 and 33,901

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Solution

The fourth proportional to 81,933.67, 122,897.41 and 33,901 is: 50,850.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,933.67 : 122,897.41 = 33,901 : x
  2. Step 2: Convert to fraction form
    81,933.67/122,897.41 = 33,901/x
  3. Step 3: Cross multiply
    81,933.67x = 122,897.41 × 33,901
  4. Step 4: Simplify right side
    81,933.67x = 4,166,345,096.41
  5. Step 5: Solve for x
    x = 4,166,345,096.41/81,933.67
  6. Step 6: Final answer
    x = 50,850.22

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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.