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Finding the Fourth Proportional to 122,647.98, 183,968.31 and 33,906.81

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Solution

The fourth proportional to 122,647.98, 183,968.31 and 33,906.81 is: 50,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,647.98 : 183,968.31 = 33,906.81 : x
  2. Step 2: Convert to fraction form
    122,647.98/183,968.31 = 33,906.81/x
  3. Step 3: Cross multiply
    122,647.98x = 183,968.31 × 33,906.81
  4. Step 4: Simplify right side
    122,647.98x = 6,237,778,533.19
  5. Step 5: Solve for x
    x = 6,237,778,533.19/122,647.98
  6. Step 6: Final answer
    x = 50,859.20

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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.