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Finding the Fourth Proportional to 38,382.36, 52,967.57 and 22,469.82

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Solution

The fourth proportional to 38,382.36, 52,967.57 and 22,469.82 is: 31,008.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382.36 : 52,967.57 = 22,469.82 : x
  2. Step 2: Convert to fraction form
    38,382.36/52,967.57 = 22,469.82/x
  3. Step 3: Cross multiply
    38,382.36x = 52,967.57 × 22,469.82
  4. Step 4: Simplify right side
    38,382.36x = 1,190,171,651.39
  5. Step 5: Solve for x
    x = 1,190,171,651.39/38,382.36
  6. Step 6: Final answer
    x = 31,008.30

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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.