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Finding the Fourth Proportional to 42,508, 63,734.66 and 16,198.38

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Solution

The fourth proportional to 42,508, 63,734.66 and 16,198.38 is: 24,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,508 : 63,734.66 = 16,198.38 : x
  2. Step 2: Convert to fraction form
    42,508/63,734.66 = 16,198.38/x
  3. Step 3: Cross multiply
    42,508x = 63,734.66 × 16,198.38
  4. Step 4: Simplify right side
    42,508x = 1,032,398,241.85
  5. Step 5: Solve for x
    x = 1,032,398,241.85/42,508
  6. Step 6: Final answer
    x = 24,287.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.