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Finding the Fourth Proportional to 99,516, 149,274 and 33,852

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Solution

The fourth proportional to 99,516, 149,274 and 33,852 is: 50,778

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,516 : 149,274 = 33,852 : x
  2. Step 2: Convert to fraction form
    99,516/149,274 = 33,852/x
  3. Step 3: Cross multiply
    99,516x = 149,274 × 33,852
  4. Step 4: Simplify right side
    99,516x = 5,053,223,448
  5. Step 5: Solve for x
    x = 5,053,223,448/99,516
  6. Step 6: Final answer
    x = 50,778

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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.