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Finding the Fourth Proportional to 122,729.60, 184,083.60 and 33,975.20

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Solution

The fourth proportional to 122,729.60, 184,083.60 and 33,975.20 is: 50,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,729.60 : 184,083.60 = 33,975.20 : x
  2. Step 2: Convert to fraction form
    122,729.60/184,083.60 = 33,975.20/x
  3. Step 3: Cross multiply
    122,729.60x = 184,083.60 × 33,975.20
  4. Step 4: Simplify right side
    122,729.60x = 6,254,277,126.72
  5. Step 5: Solve for x
    x = 6,254,277,126.72/122,729.60
  6. Step 6: Final answer
    x = 50,959.81

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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.