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Finding the Fourth Proportional to 69,197.92, 103,829.69 and 41,173.36

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Solution

The fourth proportional to 69,197.92, 103,829.69 and 41,173.36 is: 61,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,197.92 : 103,829.69 = 41,173.36 : x
  2. Step 2: Convert to fraction form
    69,197.92/103,829.69 = 41,173.36/x
  3. Step 3: Cross multiply
    69,197.92x = 103,829.69 × 41,173.36
  4. Step 4: Simplify right side
    69,197.92x = 4,275,017,205.06
  5. Step 5: Solve for x
    x = 4,275,017,205.06/69,197.92
  6. Step 6: Final answer
    x = 61,779.56

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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.