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Finding the Fourth Proportional to 122,584.49, 183,887.31 and 33,838.00

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Solution

The fourth proportional to 122,584.49, 183,887.31 and 33,838.00 is: 50,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,584.49 : 183,887.31 = 33,838.00 : x
  2. Step 2: Convert to fraction form
    122,584.49/183,887.31 = 33,838.00/x
  3. Step 3: Cross multiply
    122,584.49x = 183,887.31 × 33,838.00
  4. Step 4: Simplify right side
    122,584.49x = 6,222,379,497.32
  5. Step 5: Solve for x
    x = 6,222,379,497.32/122,584.49
  6. Step 6: Final answer
    x = 50,759.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.