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Finding the Fourth Proportional to 27,157.10, 40,744.14 and 8,182.46

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Solution

The fourth proportional to 27,157.10, 40,744.14 and 8,182.46 is: 12,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,157.10 : 40,744.14 = 8,182.46 : x
  2. Step 2: Convert to fraction form
    27,157.10/40,744.14 = 8,182.46/x
  3. Step 3: Cross multiply
    27,157.10x = 40,744.14 × 8,182.46
  4. Step 4: Simplify right side
    27,157.10x = 333,387,295.78
  5. Step 5: Solve for x
    x = 333,387,295.78/27,157.10
  6. Step 6: Final answer
    x = 12,276.25

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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.