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Finding the Fourth Proportional to 30,974.36, 42,744.38 and 16,827.30

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Solution

The fourth proportional to 30,974.36, 42,744.38 and 16,827.30 is: 23,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,974.36 : 42,744.38 = 16,827.30 : x
  2. Step 2: Convert to fraction form
    30,974.36/42,744.38 = 16,827.30/x
  3. Step 3: Cross multiply
    30,974.36x = 42,744.38 × 16,827.30
  4. Step 4: Simplify right side
    30,974.36x = 719,272,421.44
  5. Step 5: Solve for x
    x = 719,272,421.44/30,974.36
  6. Step 6: Final answer
    x = 23,221.55

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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.