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Finding the Fourth Proportional to 27,757.35, 41,525.37 and 24,102.63

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Solution

The fourth proportional to 27,757.35, 41,525.37 and 24,102.63 is: 36,057.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,757.35 : 41,525.37 = 24,102.63 : x
  2. Step 2: Convert to fraction form
    27,757.35/41,525.37 = 24,102.63/x
  3. Step 3: Cross multiply
    27,757.35x = 41,525.37 × 24,102.63
  4. Step 4: Simplify right side
    27,757.35x = 1,000,870,628.72
  5. Step 5: Solve for x
    x = 1,000,870,628.72/27,757.35
  6. Step 6: Final answer
    x = 36,057.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.