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Finding the Fourth Proportional to 37,757.50, 56,638.75 and 11,105.87

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Solution

The fourth proportional to 37,757.50, 56,638.75 and 11,105.87 is: 16,659.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,757.50 : 56,638.75 = 11,105.87 : x
  2. Step 2: Convert to fraction form
    37,757.50/56,638.75 = 11,105.87/x
  3. Step 3: Cross multiply
    37,757.50x = 56,638.75 × 11,105.87
  4. Step 4: Simplify right side
    37,757.50x = 629,022,808.77
  5. Step 5: Solve for x
    x = 629,022,808.77/37,757.50
  6. Step 6: Final answer
    x = 16,659.55

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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.