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Finding the Fourth Proportional to 30,990.38, 42,766.40 and 16,843.28

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Solution

The fourth proportional to 30,990.38, 42,766.40 and 16,843.28 is: 23,243.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990.38 : 42,766.40 = 16,843.28 : x
  2. Step 2: Convert to fraction form
    30,990.38/42,766.40 = 16,843.28/x
  3. Step 3: Cross multiply
    30,990.38x = 42,766.40 × 16,843.28
  4. Step 4: Simplify right side
    30,990.38x = 720,326,278.07
  5. Step 5: Solve for x
    x = 720,326,278.07/30,990.38
  6. Step 6: Final answer
    x = 23,243.55

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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.