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Finding the Fourth Proportional to 30,983.38, 42,757.07 and 16,836.19

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Solution

The fourth proportional to 30,983.38, 42,757.07 and 16,836.19 is: 23,233.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.38 : 42,757.07 = 16,836.19 : x
  2. Step 2: Convert to fraction form
    30,983.38/42,757.07 = 16,836.19/x
  3. Step 3: Cross multiply
    30,983.38x = 42,757.07 × 16,836.19
  4. Step 4: Simplify right side
    30,983.38x = 719,865,963.29
  5. Step 5: Solve for x
    x = 719,865,963.29/30,983.38
  6. Step 6: Final answer
    x = 23,233.94

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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.