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Finding the Fourth Proportional to 122,274.74, 183,399.82 and 33,537.16

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Solution

The fourth proportional to 122,274.74, 183,399.82 and 33,537.16 is: 50,302.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,274.74 : 183,399.82 = 33,537.16 : x
  2. Step 2: Convert to fraction form
    122,274.74/183,399.82 = 33,537.16/x
  3. Step 3: Cross multiply
    122,274.74x = 183,399.82 × 33,537.16
  4. Step 4: Simplify right side
    122,274.74x = 6,150,709,107.31
  5. Step 5: Solve for x
    x = 6,150,709,107.31/122,274.74
  6. Step 6: Final answer
    x = 50,302.37

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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.