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Finding the Fourth Proportional to 25,674.14, 35,394.90 and 25,115.24

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Solution

The fourth proportional to 25,674.14, 35,394.90 and 25,115.24 is: 34,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,674.14 : 35,394.90 = 25,115.24 : x
  2. Step 2: Convert to fraction form
    25,674.14/35,394.90 = 25,115.24/x
  3. Step 3: Cross multiply
    25,674.14x = 35,394.90 × 25,115.24
  4. Step 4: Simplify right side
    25,674.14x = 888,951,408.28
  5. Step 5: Solve for x
    x = 888,951,408.28/25,674.14
  6. Step 6: Final answer
    x = 34,624.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.