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Finding the Fourth Proportional to 30,794, 42,498.30 and 17,364.56

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Solution

The fourth proportional to 30,794, 42,498.30 and 17,364.56 is: 23,964.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,794 : 42,498.30 = 17,364.56 : x
  2. Step 2: Convert to fraction form
    30,794/42,498.30 = 17,364.56/x
  3. Step 3: Cross multiply
    30,794x = 42,498.30 × 17,364.56
  4. Step 4: Simplify right side
    30,794x = 737,964,280.25
  5. Step 5: Solve for x
    x = 737,964,280.25/30,794
  6. Step 6: Final answer
    x = 23,964.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.