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Finding the Fourth Proportional to 30,304, 41,825.32 and 17,056

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Solution

The fourth proportional to 30,304, 41,825.32 and 17,056 is: 23,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,304 : 41,825.32 = 17,056 : x
  2. Step 2: Convert to fraction form
    30,304/41,825.32 = 17,056/x
  3. Step 3: Cross multiply
    30,304x = 41,825.32 × 17,056
  4. Step 4: Simplify right side
    30,304x = 713,372,657.92
  5. Step 5: Solve for x
    x = 713,372,657.92/30,304
  6. Step 6: Final answer
    x = 23,540.54

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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.