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Finding the Fourth Proportional to 47,662.72, 71,481.54 and 22,653.01

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Solution

The fourth proportional to 47,662.72, 71,481.54 and 22,653.01 is: 33,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,662.72 : 71,481.54 = 22,653.01 : x
  2. Step 2: Convert to fraction form
    47,662.72/71,481.54 = 22,653.01/x
  3. Step 3: Cross multiply
    47,662.72x = 71,481.54 × 22,653.01
  4. Step 4: Simplify right side
    47,662.72x = 1,619,272,040.44
  5. Step 5: Solve for x
    x = 1,619,272,040.44/47,662.72
  6. Step 6: Final answer
    x = 33,973.56

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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.