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Finding the Fourth Proportional to 38,296.74, 52,850.24 and 22,390.41

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Solution

The fourth proportional to 38,296.74, 52,850.24 and 22,390.41 is: 30,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296.74 : 52,850.24 = 22,390.41 : x
  2. Step 2: Convert to fraction form
    38,296.74/52,850.24 = 22,390.41/x
  3. Step 3: Cross multiply
    38,296.74x = 52,850.24 × 22,390.41
  4. Step 4: Simplify right side
    38,296.74x = 1,183,338,542.20
  5. Step 5: Solve for x
    x = 1,183,338,542.20/38,296.74
  6. Step 6: Final answer
    x = 30,899.20

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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.