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Finding the Fourth Proportional to 34,546.20, 51,820.14 and 25,836.42

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Solution

The fourth proportional to 34,546.20, 51,820.14 and 25,836.42 is: 38,755.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,546.20 : 51,820.14 = 25,836.42 : x
  2. Step 2: Convert to fraction form
    34,546.20/51,820.14 = 25,836.42/x
  3. Step 3: Cross multiply
    34,546.20x = 51,820.14 × 25,836.42
  4. Step 4: Simplify right side
    34,546.20x = 1,338,846,901.50
  5. Step 5: Solve for x
    x = 1,338,846,901.50/34,546.20
  6. Step 6: Final answer
    x = 38,755.26

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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.