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Finding the Fourth Proportional to 30,876, 42,618.60 and 19,698

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Solution

The fourth proportional to 30,876, 42,618.60 and 19,698 is: 27,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,876 : 42,618.60 = 19,698 : x
  2. Step 2: Convert to fraction form
    30,876/42,618.60 = 19,698/x
  3. Step 3: Cross multiply
    30,876x = 42,618.60 × 19,698
  4. Step 4: Simplify right side
    30,876x = 839,501,182.80
  5. Step 5: Solve for x
    x = 839,501,182.80/30,876
  6. Step 6: Final answer
    x = 27,189.44

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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.