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Finding the Fourth Proportional to 27,310.20, 40,965.48 and 8,335.08

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Solution

The fourth proportional to 27,310.20, 40,965.48 and 8,335.08 is: 12,502.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,310.20 : 40,965.48 = 8,335.08 : x
  2. Step 2: Convert to fraction form
    27,310.20/40,965.48 = 8,335.08/x
  3. Step 3: Cross multiply
    27,310.20x = 40,965.48 × 8,335.08
  4. Step 4: Simplify right side
    27,310.20x = 341,450,553.04
  5. Step 5: Solve for x
    x = 341,450,553.04/27,310.20
  6. Step 6: Final answer
    x = 12,502.67

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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.