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Finding the Fourth Proportional to 34,201.44, 51,310.04 and 10,827.88

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Solution

The fourth proportional to 34,201.44, 51,310.04 and 10,827.88 is: 16,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,201.44 : 51,310.04 = 10,827.88 : x
  2. Step 2: Convert to fraction form
    34,201.44/51,310.04 = 10,827.88/x
  3. Step 3: Cross multiply
    34,201.44x = 51,310.04 × 10,827.88
  4. Step 4: Simplify right side
    34,201.44x = 555,578,773.50
  5. Step 5: Solve for x
    x = 555,578,773.50/34,201.44
  6. Step 6: Final answer
    x = 16,244.31

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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.