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Finding the Fourth Proportional to 27,766.50, 41,654.09 and 9,042.12

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Solution

The fourth proportional to 27,766.50, 41,654.09 and 9,042.12 is: 13,564.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,766.50 : 41,654.09 = 9,042.12 : x
  2. Step 2: Convert to fraction form
    27,766.50/41,654.09 = 9,042.12/x
  3. Step 3: Cross multiply
    27,766.50x = 41,654.09 × 9,042.12
  4. Step 4: Simplify right side
    27,766.50x = 376,641,235.06
  5. Step 5: Solve for x
    x = 376,641,235.06/27,766.50
  6. Step 6: Final answer
    x = 13,564.59

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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.