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Finding the Fourth Proportional to 27,047.10, 40,563.45 and 8,327.10

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Solution

The fourth proportional to 27,047.10, 40,563.45 and 8,327.10 is: 12,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,047.10 : 40,563.45 = 8,327.10 : x
  2. Step 2: Convert to fraction form
    27,047.10/40,563.45 = 8,327.10/x
  3. Step 3: Cross multiply
    27,047.10x = 40,563.45 × 8,327.10
  4. Step 4: Simplify right side
    27,047.10x = 337,775,904.50
  5. Step 5: Solve for x
    x = 337,775,904.50/27,047.10
  6. Step 6: Final answer
    x = 12,488.43

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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.