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Finding the Fourth Proportional to 99,792.75, 149,657.99 and 33,217.32

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Solution

The fourth proportional to 99,792.75, 149,657.99 and 33,217.32 is: 49,815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,792.75 : 149,657.99 = 33,217.32 : x
  2. Step 2: Convert to fraction form
    99,792.75/149,657.99 = 33,217.32/x
  3. Step 3: Cross multiply
    99,792.75x = 149,657.99 × 33,217.32
  4. Step 4: Simplify right side
    99,792.75x = 4,971,237,178.30
  5. Step 5: Solve for x
    x = 4,971,237,178.30/99,792.75
  6. Step 6: Final answer
    x = 49,815.61

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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.