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Finding the Fourth Proportional to 45,806.92, 68,690.46 and 15,824.28

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Solution

The fourth proportional to 45,806.92, 68,690.46 and 15,824.28 is: 23,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,806.92 : 68,690.46 = 15,824.28 : x
  2. Step 2: Convert to fraction form
    45,806.92/68,690.46 = 15,824.28/x
  3. Step 3: Cross multiply
    45,806.92x = 68,690.46 × 15,824.28
  4. Step 4: Simplify right side
    45,806.92x = 1,086,977,072.37
  5. Step 5: Solve for x
    x = 1,086,977,072.37/45,806.92
  6. Step 6: Final answer
    x = 23,729.54

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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.