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Finding the Fourth Proportional to 122,715.53, 184,052.78 and 33,978

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Solution

The fourth proportional to 122,715.53, 184,052.78 and 33,978 is: 50,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,715.53 : 184,052.78 = 33,978 : x
  2. Step 2: Convert to fraction form
    122,715.53/184,052.78 = 33,978/x
  3. Step 3: Cross multiply
    122,715.53x = 184,052.78 × 33,978
  4. Step 4: Simplify right side
    122,715.53x = 6,253,745,358.84
  5. Step 5: Solve for x
    x = 6,253,745,358.84/122,715.53
  6. Step 6: Final answer
    x = 50,961.32

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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.