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Finding the Fourth Proportional to 35,310.70, 52,965.98 and 9,015.44

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Solution

The fourth proportional to 35,310.70, 52,965.98 and 9,015.44 is: 13,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,310.70 : 52,965.98 = 9,015.44 : x
  2. Step 2: Convert to fraction form
    35,310.70/52,965.98 = 9,015.44/x
  3. Step 3: Cross multiply
    35,310.70x = 52,965.98 × 9,015.44
  4. Step 4: Simplify right side
    35,310.70x = 477,511,614.73
  5. Step 5: Solve for x
    x = 477,511,614.73/35,310.70
  6. Step 6: Final answer
    x = 13,523.14

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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.