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Finding the Fourth Proportional to 47,680.89, 71,533.14 and 33,668.37

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Solution

The fourth proportional to 47,680.89, 71,533.14 and 33,668.37 is: 50,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,680.89 : 71,533.14 = 33,668.37 : x
  2. Step 2: Convert to fraction form
    47,680.89/71,533.14 = 33,668.37/x
  3. Step 3: Cross multiply
    47,680.89x = 71,533.14 × 33,668.37
  4. Step 4: Simplify right side
    47,680.89x = 2,408,404,224.78
  5. Step 5: Solve for x
    x = 2,408,404,224.78/47,680.89
  6. Step 6: Final answer
    x = 50,510.89

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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.