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Finding the Fourth Proportional to 99,796.80, 149,662.80 and 33,225.60

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Solution

The fourth proportional to 99,796.80, 149,662.80 and 33,225.60 is: 49,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,796.80 : 149,662.80 = 33,225.60 : x
  2. Step 2: Convert to fraction form
    99,796.80/149,662.80 = 33,225.60/x
  3. Step 3: Cross multiply
    99,796.80x = 149,662.80 × 33,225.60
  4. Step 4: Simplify right side
    99,796.80x = 4,972,636,327.68
  5. Step 5: Solve for x
    x = 4,972,636,327.68/99,796.80
  6. Step 6: Final answer
    x = 49,827.61

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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.