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Finding the Fourth Proportional to 122,523.81, 183,794.94 and 33,776.56

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Solution

The fourth proportional to 122,523.81, 183,794.94 and 33,776.56 is: 50,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,523.81 : 183,794.94 = 33,776.56 : x
  2. Step 2: Convert to fraction form
    122,523.81/183,794.94 = 33,776.56/x
  3. Step 3: Cross multiply
    122,523.81x = 183,794.94 × 33,776.56
  4. Step 4: Simplify right side
    122,523.81x = 6,207,961,048.35
  5. Step 5: Solve for x
    x = 6,207,961,048.35/122,523.81
  6. Step 6: Final answer
    x = 50,667.39

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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.