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Finding the Fourth Proportional to 99,847.76, 149,755.36 and 33,288.44

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Solution

The fourth proportional to 99,847.76, 149,755.36 and 33,288.44 is: 49,927.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,847.76 : 149,755.36 = 33,288.44 : x
  2. Step 2: Convert to fraction form
    99,847.76/149,755.36 = 33,288.44/x
  3. Step 3: Cross multiply
    99,847.76x = 149,755.36 × 33,288.44
  4. Step 4: Simplify right side
    99,847.76x = 4,985,122,316.04
  5. Step 5: Solve for x
    x = 4,985,122,316.04/99,847.76
  6. Step 6: Final answer
    x = 49,927.23

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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.