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Finding the Fourth Proportional to 30,604.69, 45,907.23 and 8,420.41

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Solution

The fourth proportional to 30,604.69, 45,907.23 and 8,420.41 is: 12,630.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,604.69 : 45,907.23 = 8,420.41 : x
  2. Step 2: Convert to fraction form
    30,604.69/45,907.23 = 8,420.41/x
  3. Step 3: Cross multiply
    30,604.69x = 45,907.23 × 8,420.41
  4. Step 4: Simplify right side
    30,604.69x = 386,557,698.56
  5. Step 5: Solve for x
    x = 386,557,698.56/30,604.69
  6. Step 6: Final answer
    x = 12,630.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.