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Finding the Fourth Proportional to 122,493.60, 183,729.60 and 33,739.20

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Solution

The fourth proportional to 122,493.60, 183,729.60 and 33,739.20 is: 50,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,493.60 : 183,729.60 = 33,739.20 : x
  2. Step 2: Convert to fraction form
    122,493.60/183,729.60 = 33,739.20/x
  3. Step 3: Cross multiply
    122,493.60x = 183,729.60 × 33,739.20
  4. Step 4: Simplify right side
    122,493.60x = 6,198,889,720.32
  5. Step 5: Solve for x
    x = 6,198,889,720.32/122,493.60
  6. Step 6: Final answer
    x = 50,605.83

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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.