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Finding the Fourth Proportional to 30,609.23, 45,914.43 and 8,422.52

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Solution

The fourth proportional to 30,609.23, 45,914.43 and 8,422.52 is: 12,633.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.23 : 45,914.43 = 8,422.52 : x
  2. Step 2: Convert to fraction form
    30,609.23/45,914.43 = 8,422.52/x
  3. Step 3: Cross multiply
    30,609.23x = 45,914.43 × 8,422.52
  4. Step 4: Simplify right side
    30,609.23x = 386,715,204.96
  5. Step 5: Solve for x
    x = 386,715,204.96/30,609.23
  6. Step 6: Final answer
    x = 12,633.94

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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.