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Finding the Fourth Proportional to 27,769.88, 41,650.54 and 9,049.86

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Solution

The fourth proportional to 27,769.88, 41,650.54 and 9,049.86 is: 13,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,769.88 : 41,650.54 = 9,049.86 : x
  2. Step 2: Convert to fraction form
    27,769.88/41,650.54 = 9,049.86/x
  3. Step 3: Cross multiply
    27,769.88x = 41,650.54 × 9,049.86
  4. Step 4: Simplify right side
    27,769.88x = 376,931,555.92
  5. Step 5: Solve for x
    x = 376,931,555.92/27,769.88
  6. Step 6: Final answer
    x = 13,573.40

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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.