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Finding the Fourth Proportional to 27,047, 40,563.96 and 7,324.28

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Solution

The fourth proportional to 27,047, 40,563.96 and 7,324.28 is: 10,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047 : 40,563.96 = 7,324.28 : x
  2. Step 2: Convert to fraction form
    27,047/40,563.96 = 7,324.28/x
  3. Step 3: Cross multiply
    27,047x = 40,563.96 × 7,324.28
  4. Step 4: Simplify right side
    27,047x = 297,101,800.95
  5. Step 5: Solve for x
    x = 297,101,800.95/27,047
  6. Step 6: Final answer
    x = 10,984.65

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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.