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Finding the Fourth Proportional to 123,230.25, 184,845.42 and 29,736

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Solution

The fourth proportional to 123,230.25, 184,845.42 and 29,736 is: 44,604.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,230.25 : 184,845.42 = 29,736 : x
  2. Step 2: Convert to fraction form
    123,230.25/184,845.42 = 29,736/x
  3. Step 3: Cross multiply
    123,230.25x = 184,845.42 × 29,736
  4. Step 4: Simplify right side
    123,230.25x = 5,496,563,409.12
  5. Step 5: Solve for x
    x = 5,496,563,409.12/123,230.25
  6. Step 6: Final answer
    x = 44,604.01

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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.