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Finding the Fourth Proportional to 30,578.11, 42,198.21 and 18,476.91

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Solution

The fourth proportional to 30,578.11, 42,198.21 and 18,476.91 is: 25,498.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,578.11 : 42,198.21 = 18,476.91 : x
  2. Step 2: Convert to fraction form
    30,578.11/42,198.21 = 18,476.91/x
  3. Step 3: Cross multiply
    30,578.11x = 42,198.21 × 18,476.91
  4. Step 4: Simplify right side
    30,578.11x = 779,692,528.33
  5. Step 5: Solve for x
    x = 779,692,528.33/30,578.11
  6. Step 6: Final answer
    x = 25,498.39

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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.