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Finding the Fourth Proportional to 30,789.48, 42,489.94 and 17,361.38

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Solution

The fourth proportional to 30,789.48, 42,489.94 and 17,361.38 is: 23,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,789.48 : 42,489.94 = 17,361.38 : x
  2. Step 2: Convert to fraction form
    30,789.48/42,489.94 = 17,361.38/x
  3. Step 3: Cross multiply
    30,789.48x = 42,489.94 × 17,361.38
  4. Step 4: Simplify right side
    30,789.48x = 737,683,994.52
  5. Step 5: Solve for x
    x = 737,683,994.52/30,789.48
  6. Step 6: Final answer
    x = 23,958.96

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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.