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Finding the Fourth Proportional to 30,986.38, 42,760.99 and 16,839.22

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Solution

The fourth proportional to 30,986.38, 42,760.99 and 16,839.22 is: 23,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.38 : 42,760.99 = 16,839.22 : x
  2. Step 2: Convert to fraction form
    30,986.38/42,760.99 = 16,839.22/x
  3. Step 3: Cross multiply
    30,986.38x = 42,760.99 × 16,839.22
  4. Step 4: Simplify right side
    30,986.38x = 720,061,718.03
  5. Step 5: Solve for x
    x = 720,061,718.03/30,986.38
  6. Step 6: Final answer
    x = 23,238.01

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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.