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Finding the Fourth Proportional to 99,765.60, 149,669.20 and 33,226.40

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Solution

The fourth proportional to 99,765.60, 149,669.20 and 33,226.40 is: 49,846.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765.60 : 149,669.20 = 33,226.40 : x
  2. Step 2: Convert to fraction form
    99,765.60/149,669.20 = 33,226.40/x
  3. Step 3: Cross multiply
    99,765.60x = 149,669.20 × 33,226.40
  4. Step 4: Simplify right side
    99,765.60x = 4,972,968,706.88
  5. Step 5: Solve for x
    x = 4,972,968,706.88/99,765.60
  6. Step 6: Final answer
    x = 49,846.53

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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.