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Finding the Fourth Proportional to 69,378.50, 104,082.34 and 27,825.50

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Solution

The fourth proportional to 69,378.50, 104,082.34 and 27,825.50 is: 41,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,378.50 : 104,082.34 = 27,825.50 : x
  2. Step 2: Convert to fraction form
    69,378.50/104,082.34 = 27,825.50/x
  3. Step 3: Cross multiply
    69,378.50x = 104,082.34 × 27,825.50
  4. Step 4: Simplify right side
    69,378.50x = 2,896,143,151.67
  5. Step 5: Solve for x
    x = 2,896,143,151.67/69,378.50
  6. Step 6: Final answer
    x = 41,744.10

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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.