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Finding the Fourth Proportional to 34,819.38, 48,090.30 and 23,469.31

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Solution

The fourth proportional to 34,819.38, 48,090.30 and 23,469.31 is: 32,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,819.38 : 48,090.30 = 23,469.31 : x
  2. Step 2: Convert to fraction form
    34,819.38/48,090.30 = 23,469.31/x
  3. Step 3: Cross multiply
    34,819.38x = 48,090.30 × 23,469.31
  4. Step 4: Simplify right side
    34,819.38x = 1,128,646,158.69
  5. Step 5: Solve for x
    x = 1,128,646,158.69/34,819.38
  6. Step 6: Final answer
    x = 32,414.31

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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.