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Finding the Fourth Proportional to 27,336.50, 41,004.02 and 7,614.26

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Solution

The fourth proportional to 27,336.50, 41,004.02 and 7,614.26 is: 11,421.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,336.50 : 41,004.02 = 7,614.26 : x
  2. Step 2: Convert to fraction form
    27,336.50/41,004.02 = 7,614.26/x
  3. Step 3: Cross multiply
    27,336.50x = 41,004.02 × 7,614.26
  4. Step 4: Simplify right side
    27,336.50x = 312,215,269.33
  5. Step 5: Solve for x
    x = 312,215,269.33/27,336.50
  6. Step 6: Final answer
    x = 11,421.19

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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.