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Finding the Fourth Proportional to 99,462, 149,193 and 33,798

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Solution

The fourth proportional to 99,462, 149,193 and 33,798 is: 50,697

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,462 : 149,193 = 33,798 : x
  2. Step 2: Convert to fraction form
    99,462/149,193 = 33,798/x
  3. Step 3: Cross multiply
    99,462x = 149,193 × 33,798
  4. Step 4: Simplify right side
    99,462x = 5,042,425,014
  5. Step 5: Solve for x
    x = 5,042,425,014/99,462
  6. Step 6: Final answer
    x = 50,697

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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.