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Finding the Fourth Proportional to 30,906.14, 42,651.49 and 17,479.58

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Solution

The fourth proportional to 30,906.14, 42,651.49 and 17,479.58 is: 24,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,906.14 : 42,651.49 = 17,479.58 : x
  2. Step 2: Convert to fraction form
    30,906.14/42,651.49 = 17,479.58/x
  3. Step 3: Cross multiply
    30,906.14x = 42,651.49 × 17,479.58
  4. Step 4: Simplify right side
    30,906.14x = 745,529,918.32
  5. Step 5: Solve for x
    x = 745,529,918.32/30,906.14
  6. Step 6: Final answer
    x = 24,122.39

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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.