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Finding the Fourth Proportional to 38,299.98, 52,841.07 and 22,375.38

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Solution

The fourth proportional to 38,299.98, 52,841.07 and 22,375.38 is: 30,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,299.98 : 52,841.07 = 22,375.38 : x
  2. Step 2: Convert to fraction form
    38,299.98/52,841.07 = 22,375.38/x
  3. Step 3: Cross multiply
    38,299.98x = 52,841.07 × 22,375.38
  4. Step 4: Simplify right side
    38,299.98x = 1,182,339,020.86
  5. Step 5: Solve for x
    x = 1,182,339,020.86/38,299.98
  6. Step 6: Final answer
    x = 30,870.49

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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.