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Finding the Fourth Proportional to 99,825, 149,705.22 and 33,247.32

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Solution

The fourth proportional to 99,825, 149,705.22 and 33,247.32 is: 49,860.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,825 : 149,705.22 = 33,247.32 : x
  2. Step 2: Convert to fraction form
    99,825/149,705.22 = 33,247.32/x
  3. Step 3: Cross multiply
    99,825x = 149,705.22 × 33,247.32
  4. Step 4: Simplify right side
    99,825x = 4,977,297,355.01
  5. Step 5: Solve for x
    x = 4,977,297,355.01/99,825
  6. Step 6: Final answer
    x = 49,860.23

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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.