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Finding the Fourth Proportional to 47,144.44, 70,676.94 and 20,470.36

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Solution

The fourth proportional to 47,144.44, 70,676.94 and 20,470.36 is: 30,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,144.44 : 70,676.94 = 20,470.36 : x
  2. Step 2: Convert to fraction form
    47,144.44/70,676.94 = 20,470.36/x
  3. Step 3: Cross multiply
    47,144.44x = 70,676.94 × 20,470.36
  4. Step 4: Simplify right side
    47,144.44x = 1,446,782,405.50
  5. Step 5: Solve for x
    x = 1,446,782,405.50/47,144.44
  6. Step 6: Final answer
    x = 30,688.29

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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.