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Finding the Fourth Proportional to 122,683.77, 184,025.34 and 33,937.20

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Solution

The fourth proportional to 122,683.77, 184,025.34 and 33,937.20 is: 50,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,683.77 : 184,025.34 = 33,937.20 : x
  2. Step 2: Convert to fraction form
    122,683.77/184,025.34 = 33,937.20/x
  3. Step 3: Cross multiply
    122,683.77x = 184,025.34 × 33,937.20
  4. Step 4: Simplify right side
    122,683.77x = 6,245,304,768.65
  5. Step 5: Solve for x
    x = 6,245,304,768.65/122,683.77
  6. Step 6: Final answer
    x = 50,905.71

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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.