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Finding the Fourth Proportional to 29,757.96, 41,076.09 and 20,824.11

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Solution

The fourth proportional to 29,757.96, 41,076.09 and 20,824.11 is: 28,744.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,757.96 : 41,076.09 = 20,824.11 : x
  2. Step 2: Convert to fraction form
    29,757.96/41,076.09 = 20,824.11/x
  3. Step 3: Cross multiply
    29,757.96x = 41,076.09 × 20,824.11
  4. Step 4: Simplify right side
    29,757.96x = 855,373,016.53
  5. Step 5: Solve for x
    x = 855,373,016.53/29,757.96
  6. Step 6: Final answer
    x = 28,744.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.