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Finding the Fourth Proportional to 30,096, 41,534.40 and 16,848

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Solution

The fourth proportional to 30,096, 41,534.40 and 16,848 is: 23,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,096 : 41,534.40 = 16,848 : x
  2. Step 2: Convert to fraction form
    30,096/41,534.40 = 16,848/x
  3. Step 3: Cross multiply
    30,096x = 41,534.40 × 16,848
  4. Step 4: Simplify right side
    30,096x = 699,771,571.20
  5. Step 5: Solve for x
    x = 699,771,571.20/30,096
  6. Step 6: Final answer
    x = 23,251.31

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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.