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Finding the Fourth Proportional to 122,269.49, 183,391.94 and 33,531.92

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Solution

The fourth proportional to 122,269.49, 183,391.94 and 33,531.92 is: 50,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,269.49 : 183,391.94 = 33,531.92 : x
  2. Step 2: Convert to fraction form
    122,269.49/183,391.94 = 33,531.92/x
  3. Step 3: Cross multiply
    122,269.49x = 183,391.94 × 33,531.92
  4. Step 4: Simplify right side
    122,269.49x = 6,149,483,027.59
  5. Step 5: Solve for x
    x = 6,149,483,027.59/122,269.49
  6. Step 6: Final answer
    x = 50,294.50

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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.