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Finding the Fourth Proportional to 122,715.32, 184,052.48 and 33,977.80

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Solution

The fourth proportional to 122,715.32, 184,052.48 and 33,977.80 is: 50,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,715.32 : 184,052.48 = 33,977.80 : x
  2. Step 2: Convert to fraction form
    122,715.32/184,052.48 = 33,977.80/x
  3. Step 3: Cross multiply
    122,715.32x = 184,052.48 × 33,977.80
  4. Step 4: Simplify right side
    122,715.32x = 6,253,697,475.39
  5. Step 5: Solve for x
    x = 6,253,697,475.39/122,715.32
  6. Step 6: Final answer
    x = 50,961.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.