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Finding the Fourth Proportional to 99,969.96, 149,899.86 and 33,375

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Solution

The fourth proportional to 99,969.96, 149,899.86 and 33,375 is: 50,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,969.96 : 149,899.86 = 33,375 : x
  2. Step 2: Convert to fraction form
    99,969.96/149,899.86 = 33,375/x
  3. Step 3: Cross multiply
    99,969.96x = 149,899.86 × 33,375
  4. Step 4: Simplify right side
    99,969.96x = 5,002,907,827.50
  5. Step 5: Solve for x
    x = 5,002,907,827.50/99,969.96
  6. Step 6: Final answer
    x = 50,044.11

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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.