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Finding the Fourth Proportional to 33,177.80, 49,766.70 and 13,446.20

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Solution

The fourth proportional to 33,177.80, 49,766.70 and 13,446.20 is: 20,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,177.80 : 49,766.70 = 13,446.20 : x
  2. Step 2: Convert to fraction form
    33,177.80/49,766.70 = 13,446.20/x
  3. Step 3: Cross multiply
    33,177.80x = 49,766.70 × 13,446.20
  4. Step 4: Simplify right side
    33,177.80x = 669,173,001.54
  5. Step 5: Solve for x
    x = 669,173,001.54/33,177.80
  6. Step 6: Final answer
    x = 20,169.30

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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.