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Finding the Fourth Proportional to 37,755, 56,632.98 and 13,131

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Solution

The fourth proportional to 37,755, 56,632.98 and 13,131 is: 19,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,755 : 56,632.98 = 13,131 : x
  2. Step 2: Convert to fraction form
    37,755/56,632.98 = 13,131/x
  3. Step 3: Cross multiply
    37,755x = 56,632.98 × 13,131
  4. Step 4: Simplify right side
    37,755x = 743,647,660.38
  5. Step 5: Solve for x
    x = 743,647,660.38/37,755
  6. Step 6: Final answer
    x = 19,696.67

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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.