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Finding the Fourth Proportional to 30,414.58, 41,957.54 and 19,078.38

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Solution

The fourth proportional to 30,414.58, 41,957.54 and 19,078.38 is: 26,319.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,414.58 : 41,957.54 = 19,078.38 : x
  2. Step 2: Convert to fraction form
    30,414.58/41,957.54 = 19,078.38/x
  3. Step 3: Cross multiply
    30,414.58x = 41,957.54 × 19,078.38
  4. Step 4: Simplify right side
    30,414.58x = 800,481,891.99
  5. Step 5: Solve for x
    x = 800,481,891.99/30,414.58
  6. Step 6: Final answer
    x = 26,319.02

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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.