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Finding the Fourth Proportional to 30,126.78, 41,578.65 and 17,552.34

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Solution

The fourth proportional to 30,126.78, 41,578.65 and 17,552.34 is: 24,224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,126.78 : 41,578.65 = 17,552.34 : x
  2. Step 2: Convert to fraction form
    30,126.78/41,578.65 = 17,552.34/x
  3. Step 3: Cross multiply
    30,126.78x = 41,578.65 × 17,552.34
  4. Step 4: Simplify right side
    30,126.78x = 729,802,601.54
  5. Step 5: Solve for x
    x = 729,802,601.54/30,126.78
  6. Step 6: Final answer
    x = 24,224.38

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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.