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Finding the Fourth Proportional to 30,813.46, 42,519.81 and 17,381.14

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Solution

The fourth proportional to 30,813.46, 42,519.81 and 17,381.14 is: 23,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,813.46 : 42,519.81 = 17,381.14 : x
  2. Step 2: Convert to fraction form
    30,813.46/42,519.81 = 17,381.14/x
  3. Step 3: Cross multiply
    30,813.46x = 42,519.81 × 17,381.14
  4. Step 4: Simplify right side
    30,813.46x = 739,042,770.38
  5. Step 5: Solve for x
    x = 739,042,770.38/30,813.46
  6. Step 6: Final answer
    x = 23,984.41

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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.