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Finding the Fourth Proportional to 43,874.10, 65,728.26 and 21,661.56

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Solution

The fourth proportional to 43,874.10, 65,728.26 and 21,661.56 is: 32,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,874.10 : 65,728.26 = 21,661.56 : x
  2. Step 2: Convert to fraction form
    43,874.10/65,728.26 = 21,661.56/x
  3. Step 3: Cross multiply
    43,874.10x = 65,728.26 × 21,661.56
  4. Step 4: Simplify right side
    43,874.10x = 1,423,776,647.69
  5. Step 5: Solve for x
    x = 1,423,776,647.69/43,874.10
  6. Step 6: Final answer
    x = 32,451.42

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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.