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Finding the Fourth Proportional to 34,456.38, 47,561.76 and 20,308.38

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Solution

The fourth proportional to 34,456.38, 47,561.76 and 20,308.38 is: 28,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,456.38 : 47,561.76 = 20,308.38 : x
  2. Step 2: Convert to fraction form
    34,456.38/47,561.76 = 20,308.38/x
  3. Step 3: Cross multiply
    34,456.38x = 47,561.76 × 20,308.38
  4. Step 4: Simplify right side
    34,456.38x = 965,902,295.55
  5. Step 5: Solve for x
    x = 965,902,295.55/34,456.38
  6. Step 6: Final answer
    x = 28,032.61

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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.