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Finding the Fourth Proportional to 74,896.34, 112,338.34 and 22,305.83

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Solution

The fourth proportional to 74,896.34, 112,338.34 and 22,305.83 is: 33,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,896.34 : 112,338.34 = 22,305.83 : x
  2. Step 2: Convert to fraction form
    74,896.34/112,338.34 = 22,305.83/x
  3. Step 3: Cross multiply
    74,896.34x = 112,338.34 × 22,305.83
  4. Step 4: Simplify right side
    74,896.34x = 2,505,799,297.07
  5. Step 5: Solve for x
    x = 2,505,799,297.07/74,896.34
  6. Step 6: Final answer
    x = 33,456.90

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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.