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Finding the Fourth Proportional to 122,589, 183,883.50 and 39,483

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Solution

The fourth proportional to 122,589, 183,883.50 and 39,483 is: 59,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,589 : 183,883.50 = 39,483 : x
  2. Step 2: Convert to fraction form
    122,589/183,883.50 = 39,483/x
  3. Step 3: Cross multiply
    122,589x = 183,883.50 × 39,483
  4. Step 4: Simplify right side
    122,589x = 7,260,272,230.50
  5. Step 5: Solve for x
    x = 7,260,272,230.50/122,589
  6. Step 6: Final answer
    x = 59,224.50

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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.