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Finding the Fourth Proportional to 27,072.50, 40,593.88 and 8,347.34

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Solution

The fourth proportional to 27,072.50, 40,593.88 and 8,347.34 is: 12,516.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,072.50 : 40,593.88 = 8,347.34 : x
  2. Step 2: Convert to fraction form
    27,072.50/40,593.88 = 8,347.34/x
  3. Step 3: Cross multiply
    27,072.50x = 40,593.88 × 8,347.34
  4. Step 4: Simplify right side
    27,072.50x = 338,850,918.28
  5. Step 5: Solve for x
    x = 338,850,918.28/27,072.50
  6. Step 6: Final answer
    x = 12,516.43

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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.