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Finding the Fourth Proportional to 71,762.56, 107,648.24 and 21,846.36

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Solution

The fourth proportional to 71,762.56, 107,648.24 and 21,846.36 is: 32,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,762.56 : 107,648.24 = 21,846.36 : x
  2. Step 2: Convert to fraction form
    71,762.56/107,648.24 = 21,846.36/x
  3. Step 3: Cross multiply
    71,762.56x = 107,648.24 × 21,846.36
  4. Step 4: Simplify right side
    71,762.56x = 2,351,722,016.22
  5. Step 5: Solve for x
    x = 2,351,722,016.22/71,762.56
  6. Step 6: Final answer
    x = 32,770.88

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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.