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Finding the Fourth Proportional to 27,046.50, 40,576.23 and 8,578.50

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Solution

The fourth proportional to 27,046.50, 40,576.23 and 8,578.50 is: 12,869.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046.50 : 40,576.23 = 8,578.50 : x
  2. Step 2: Convert to fraction form
    27,046.50/40,576.23 = 8,578.50/x
  3. Step 3: Cross multiply
    27,046.50x = 40,576.23 × 8,578.50
  4. Step 4: Simplify right side
    27,046.50x = 348,083,189.06
  5. Step 5: Solve for x
    x = 348,083,189.06/27,046.50
  6. Step 6: Final answer
    x = 12,869.81

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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.