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Finding the Fourth Proportional to 99,795.66, 149,676.48 and 33,228.24

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Solution

The fourth proportional to 99,795.66, 149,676.48 and 33,228.24 is: 49,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,795.66 : 149,676.48 = 33,228.24 : x
  2. Step 2: Convert to fraction form
    99,795.66/149,676.48 = 33,228.24/x
  3. Step 3: Cross multiply
    99,795.66x = 149,676.48 × 33,228.24
  4. Step 4: Simplify right side
    99,795.66x = 4,973,485,999.80
  5. Step 5: Solve for x
    x = 4,973,485,999.80/99,795.66
  6. Step 6: Final answer
    x = 49,836.70

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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.