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Finding the Fourth Proportional to 27,973.92, 41,960.88 and 10,205.88

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Solution

The fourth proportional to 27,973.92, 41,960.88 and 10,205.88 is: 15,308.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,973.92 : 41,960.88 = 10,205.88 : x
  2. Step 2: Convert to fraction form
    27,973.92/41,960.88 = 10,205.88/x
  3. Step 3: Cross multiply
    27,973.92x = 41,960.88 × 10,205.88
  4. Step 4: Simplify right side
    27,973.92x = 428,247,705.97
  5. Step 5: Solve for x
    x = 428,247,705.97/27,973.92
  6. Step 6: Final answer
    x = 15,308.82

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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.