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Finding the Fourth Proportional to 34,368.38, 47,414.19 and 22,427.42

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Solution

The fourth proportional to 34,368.38, 47,414.19 and 22,427.42 is: 30,940.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,368.38 : 47,414.19 = 22,427.42 : x
  2. Step 2: Convert to fraction form
    34,368.38/47,414.19 = 22,427.42/x
  3. Step 3: Cross multiply
    34,368.38x = 47,414.19 × 22,427.42
  4. Step 4: Simplify right side
    34,368.38x = 1,063,377,953.09
  5. Step 5: Solve for x
    x = 1,063,377,953.09/34,368.38
  6. Step 6: Final answer
    x = 30,940.59

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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.