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Finding the Fourth Proportional to 75,224.75, 103,806.29 and 43,391.75

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Solution

The fourth proportional to 75,224.75, 103,806.29 and 43,391.75 is: 59,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,224.75 : 103,806.29 = 43,391.75 : x
  2. Step 2: Convert to fraction form
    75,224.75/103,806.29 = 43,391.75/x
  3. Step 3: Cross multiply
    75,224.75x = 103,806.29 × 43,391.75
  4. Step 4: Simplify right side
    75,224.75x = 4,504,336,173.56
  5. Step 5: Solve for x
    x = 4,504,336,173.56/75,224.75
  6. Step 6: Final answer
    x = 59,878.38

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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.