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Finding the Fourth Proportional to 30,342, 41,871.96 and 17,094

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Solution

The fourth proportional to 30,342, 41,871.96 and 17,094 is: 23,589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,342 : 41,871.96 = 17,094 : x
  2. Step 2: Convert to fraction form
    30,342/41,871.96 = 17,094/x
  3. Step 3: Cross multiply
    30,342x = 41,871.96 × 17,094
  4. Step 4: Simplify right side
    30,342x = 715,759,284.24
  5. Step 5: Solve for x
    x = 715,759,284.24/30,342
  6. Step 6: Final answer
    x = 23,589.72

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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.