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Finding the Fourth Proportional to 30,122.69, 41,568.59 and 17,546.63

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Solution

The fourth proportional to 30,122.69, 41,568.59 and 17,546.63 is: 24,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.69 : 41,568.59 = 17,546.63 : x
  2. Step 2: Convert to fraction form
    30,122.69/41,568.59 = 17,546.63/x
  3. Step 3: Cross multiply
    30,122.69x = 41,568.59 × 17,546.63
  4. Step 4: Simplify right side
    30,122.69x = 729,388,504.38
  5. Step 5: Solve for x
    x = 729,388,504.38/30,122.69
  6. Step 6: Final answer
    x = 24,213.93

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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.