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Finding the Fourth Proportional to 99,774.44, 149,661.21 and 33,214.46

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Solution

The fourth proportional to 99,774.44, 149,661.21 and 33,214.46 is: 49,821.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,774.44 : 149,661.21 = 33,214.46 : x
  2. Step 2: Convert to fraction form
    99,774.44/149,661.21 = 33,214.46/x
  3. Step 3: Cross multiply
    99,774.44x = 149,661.21 × 33,214.46
  4. Step 4: Simplify right side
    99,774.44x = 4,970,916,273.10
  5. Step 5: Solve for x
    x = 4,970,916,273.10/99,774.44
  6. Step 6: Final answer
    x = 49,821.54

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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.