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Finding the Fourth Proportional to 35,170.50, 52,755.75 and 10,546.50

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Solution

The fourth proportional to 35,170.50, 52,755.75 and 10,546.50 is: 15,819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,170.50 : 52,755.75 = 10,546.50 : x
  2. Step 2: Convert to fraction form
    35,170.50/52,755.75 = 10,546.50/x
  3. Step 3: Cross multiply
    35,170.50x = 52,755.75 × 10,546.50
  4. Step 4: Simplify right side
    35,170.50x = 556,388,517.38
  5. Step 5: Solve for x
    x = 556,388,517.38/35,170.50
  6. Step 6: Final answer
    x = 15,819.75

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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.