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Finding the Fourth Proportional to 30,344.50, 45,524.43 and 8,456.50

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Solution

The fourth proportional to 30,344.50, 45,524.43 and 8,456.50 is: 12,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344.50 : 45,524.43 = 8,456.50 : x
  2. Step 2: Convert to fraction form
    30,344.50/45,524.43 = 8,456.50/x
  3. Step 3: Cross multiply
    30,344.50x = 45,524.43 × 8,456.50
  4. Step 4: Simplify right side
    30,344.50x = 384,977,342.30
  5. Step 5: Solve for x
    x = 384,977,342.30/30,344.50
  6. Step 6: Final answer
    x = 12,686.89

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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.