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Finding the Fourth Proportional to 50,676.20, 69,930.42 and 28,013.84

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Solution

The fourth proportional to 50,676.20, 69,930.42 and 28,013.84 is: 38,657.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,676.20 : 69,930.42 = 28,013.84 : x
  2. Step 2: Convert to fraction form
    50,676.20/69,930.42 = 28,013.84/x
  3. Step 3: Cross multiply
    50,676.20x = 69,930.42 × 28,013.84
  4. Step 4: Simplify right side
    50,676.20x = 1,959,019,597.01
  5. Step 5: Solve for x
    x = 1,959,019,597.01/50,676.20
  6. Step 6: Final answer
    x = 38,657.59

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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.