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Finding the Fourth Proportional to 66,724, 92,082 and 36,916

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Solution

The fourth proportional to 66,724, 92,082 and 36,916 is: 50,945.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,724 : 92,082 = 36,916 : x
  2. Step 2: Convert to fraction form
    66,724/92,082 = 36,916/x
  3. Step 3: Cross multiply
    66,724x = 92,082 × 36,916
  4. Step 4: Simplify right side
    66,724x = 3,399,299,112
  5. Step 5: Solve for x
    x = 3,399,299,112/66,724
  6. Step 6: Final answer
    x = 50,945.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.