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Finding the Fourth Proportional to 41,698.78, 57,544.24 and 22,578.58

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Solution

The fourth proportional to 41,698.78, 57,544.24 and 22,578.58 is: 31,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,698.78 : 57,544.24 = 22,578.58 : x
  2. Step 2: Convert to fraction form
    41,698.78/57,544.24 = 22,578.58/x
  3. Step 3: Cross multiply
    41,698.78x = 57,544.24 × 22,578.58
  4. Step 4: Simplify right side
    41,698.78x = 1,299,266,825.77
  5. Step 5: Solve for x
    x = 1,299,266,825.77/41,698.78
  6. Step 6: Final answer
    x = 31,158.39

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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.