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Finding the Fourth Proportional to 27,107.70, 40,668.81 and 13,952.88

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Solution

The fourth proportional to 27,107.70, 40,668.81 and 13,952.88 is: 20,933.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.70 : 40,668.81 = 13,952.88 : x
  2. Step 2: Convert to fraction form
    27,107.70/40,668.81 = 13,952.88/x
  3. Step 3: Cross multiply
    27,107.70x = 40,668.81 × 13,952.88
  4. Step 4: Simplify right side
    27,107.70x = 567,447,025.67
  5. Step 5: Solve for x
    x = 567,447,025.67/27,107.70
  6. Step 6: Final answer
    x = 20,933.06

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1.5x scale

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.