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Finding the Fourth Proportional to 57,684, 86,535.36 and 22,604.64

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Solution

The fourth proportional to 57,684, 86,535.36 and 22,604.64 is: 33,910.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,684 : 86,535.36 = 22,604.64 : x
  2. Step 2: Convert to fraction form
    57,684/86,535.36 = 22,604.64/x
  3. Step 3: Cross multiply
    57,684x = 86,535.36 × 22,604.64
  4. Step 4: Simplify right side
    57,684x = 1,956,100,660.07
  5. Step 5: Solve for x
    x = 1,956,100,660.07/57,684
  6. Step 6: Final answer
    x = 33,910.63

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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.