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Finding the Fourth Proportional to 30,275, 41,779.68 and 17,027

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Solution

The fourth proportional to 30,275, 41,779.68 and 17,027 is: 23,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,275 : 41,779.68 = 17,027 : x
  2. Step 2: Convert to fraction form
    30,275/41,779.68 = 17,027/x
  3. Step 3: Cross multiply
    30,275x = 41,779.68 × 17,027
  4. Step 4: Simplify right side
    30,275x = 711,382,611.36
  5. Step 5: Solve for x
    x = 711,382,611.36/30,275
  6. Step 6: Final answer
    x = 23,497.36

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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.