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Finding the Fourth Proportional to 99,797.67, 149,664.11 and 33,219.92

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Solution

The fourth proportional to 99,797.67, 149,664.11 and 33,219.92 is: 49,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,797.67 : 149,664.11 = 33,219.92 : x
  2. Step 2: Convert to fraction form
    99,797.67/149,664.11 = 33,219.92/x
  3. Step 3: Cross multiply
    99,797.67x = 149,664.11 × 33,219.92
  4. Step 4: Simplify right side
    99,797.67x = 4,971,829,969.13
  5. Step 5: Solve for x
    x = 4,971,829,969.13/99,797.67
  6. Step 6: Final answer
    x = 49,819.10

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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.