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Finding the Fourth Proportional to 30,392.21, 45,589.10 and 8,205.50

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Solution

The fourth proportional to 30,392.21, 45,589.10 and 8,205.50 is: 12,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,392.21 : 45,589.10 = 8,205.50 : x
  2. Step 2: Convert to fraction form
    30,392.21/45,589.10 = 8,205.50/x
  3. Step 3: Cross multiply
    30,392.21x = 45,589.10 × 8,205.50
  4. Step 4: Simplify right side
    30,392.21x = 374,081,433.00
  5. Step 5: Solve for x
    x = 374,081,433.00/30,392.21
  6. Step 6: Final answer
    x = 12,308.46

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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.