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Finding the Fourth Proportional to 30,577.30, 42,198.70 and 17,149.42

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Solution

The fourth proportional to 30,577.30, 42,198.70 and 17,149.42 is: 23,667.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577.30 : 42,198.70 = 17,149.42 : x
  2. Step 2: Convert to fraction form
    30,577.30/42,198.70 = 17,149.42/x
  3. Step 3: Cross multiply
    30,577.30x = 42,198.70 × 17,149.42
  4. Step 4: Simplify right side
    30,577.30x = 723,683,229.75
  5. Step 5: Solve for x
    x = 723,683,229.75/30,577.30
  6. Step 6: Final answer
    x = 23,667.34

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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.