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Finding the Fourth Proportional to 38,122.38, 52,608.90 and 23,218.38

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Solution

The fourth proportional to 38,122.38, 52,608.90 and 23,218.38 is: 32,041.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,122.38 : 52,608.90 = 23,218.38 : x
  2. Step 2: Convert to fraction form
    38,122.38/52,608.90 = 23,218.38/x
  3. Step 3: Cross multiply
    38,122.38x = 52,608.90 × 23,218.38
  4. Step 4: Simplify right side
    38,122.38x = 1,221,493,431.58
  5. Step 5: Solve for x
    x = 1,221,493,431.58/38,122.38
  6. Step 6: Final answer
    x = 32,041.37

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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.