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Finding the Fourth Proportional to 69,082, 95,333.16 and 39,274

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Solution

The fourth proportional to 69,082, 95,333.16 and 39,274 is: 54,198.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,082 : 95,333.16 = 39,274 : x
  2. Step 2: Convert to fraction form
    69,082/95,333.16 = 39,274/x
  3. Step 3: Cross multiply
    69,082x = 95,333.16 × 39,274
  4. Step 4: Simplify right side
    69,082x = 3,744,114,525.84
  5. Step 5: Solve for x
    x = 3,744,114,525.84/69,082
  6. Step 6: Final answer
    x = 54,198.12

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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.