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Finding the Fourth Proportional to 26,783.50, 40,118.74 and 21,489.85

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Solution

The fourth proportional to 26,783.50, 40,118.74 and 21,489.85 is: 32,189.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,783.50 : 40,118.74 = 21,489.85 : x
  2. Step 2: Convert to fraction form
    26,783.50/40,118.74 = 21,489.85/x
  3. Step 3: Cross multiply
    26,783.50x = 40,118.74 × 21,489.85
  4. Step 4: Simplify right side
    26,783.50x = 862,145,704.79
  5. Step 5: Solve for x
    x = 862,145,704.79/26,783.50
  6. Step 6: Final answer
    x = 32,189.43

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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.