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Finding the Fourth Proportional to 32,855.86, 49,255.36 and 27,890.67

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Solution

The fourth proportional to 32,855.86, 49,255.36 and 27,890.67 is: 41,811.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,855.86 : 49,255.36 = 27,890.67 : x
  2. Step 2: Convert to fraction form
    32,855.86/49,255.36 = 27,890.67/x
  3. Step 3: Cross multiply
    32,855.86x = 49,255.36 × 27,890.67
  4. Step 4: Simplify right side
    32,855.86x = 1,373,765,263.36
  5. Step 5: Solve for x
    x = 1,373,765,263.36/32,855.86
  6. Step 6: Final answer
    x = 41,811.88

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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.