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Finding the Fourth Proportional to 34,367.38, 47,412.81 and 22,426.42

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Solution

The fourth proportional to 34,367.38, 47,412.81 and 22,426.42 is: 30,939.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,367.38 : 47,412.81 = 22,426.42 : x
  2. Step 2: Convert to fraction form
    34,367.38/47,412.81 = 22,426.42/x
  3. Step 3: Cross multiply
    34,367.38x = 47,412.81 × 22,426.42
  4. Step 4: Simplify right side
    34,367.38x = 1,063,299,590.44
  5. Step 5: Solve for x
    x = 1,063,299,590.44/34,367.38
  6. Step 6: Final answer
    x = 30,939.21

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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.