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Finding the Fourth Proportional to 34,517.64, 51,770.52 and 11,144.28

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Solution

The fourth proportional to 34,517.64, 51,770.52 and 11,144.28 is: 16,714.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,517.64 : 51,770.52 = 11,144.28 : x
  2. Step 2: Convert to fraction form
    34,517.64/51,770.52 = 11,144.28/x
  3. Step 3: Cross multiply
    34,517.64x = 51,770.52 × 11,144.28
  4. Step 4: Simplify right side
    34,517.64x = 576,945,170.63
  5. Step 5: Solve for x
    x = 576,945,170.63/34,517.64
  6. Step 6: Final answer
    x = 16,714.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.