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Finding the Fourth Proportional to 122,728.77, 184,093.16 and 33,982.23

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Solution

The fourth proportional to 122,728.77, 184,093.16 and 33,982.23 is: 50,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,728.77 : 184,093.16 = 33,982.23 : x
  2. Step 2: Convert to fraction form
    122,728.77/184,093.16 = 33,982.23/x
  3. Step 3: Cross multiply
    122,728.77x = 184,093.16 × 33,982.23
  4. Step 4: Simplify right side
    122,728.77x = 6,255,896,624.98
  5. Step 5: Solve for x
    x = 6,255,896,624.98/122,728.77
  6. Step 6: Final answer
    x = 50,973.35

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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.