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Finding the Fourth Proportional to 27,971.60, 41,957.87 and 8,245.67

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Solution

The fourth proportional to 27,971.60, 41,957.87 and 8,245.67 is: 12,368.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971.60 : 41,957.87 = 8,245.67 : x
  2. Step 2: Convert to fraction form
    27,971.60/41,957.87 = 8,245.67/x
  3. Step 3: Cross multiply
    27,971.60x = 41,957.87 × 8,245.67
  4. Step 4: Simplify right side
    27,971.60x = 345,970,498.91
  5. Step 5: Solve for x
    x = 345,970,498.91/27,971.60
  6. Step 6: Final answer
    x = 12,368.64

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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.