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Finding the Fourth Proportional to 27,489.34, 41,233.24 and 8,770.50

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Solution

The fourth proportional to 27,489.34, 41,233.24 and 8,770.50 is: 13,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,489.34 : 41,233.24 = 8,770.50 : x
  2. Step 2: Convert to fraction form
    27,489.34/41,233.24 = 8,770.50/x
  3. Step 3: Cross multiply
    27,489.34x = 41,233.24 × 8,770.50
  4. Step 4: Simplify right side
    27,489.34x = 361,636,109.49
  5. Step 5: Solve for x
    x = 361,636,109.49/27,489.34
  6. Step 6: Final answer
    x = 13,155.50

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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.