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Finding the Fourth Proportional to 33,462, 50,164.38 and 13,728.24

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Solution

The fourth proportional to 33,462, 50,164.38 and 13,728.24 is: 20,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,462 : 50,164.38 = 13,728.24 : x
  2. Step 2: Convert to fraction form
    33,462/50,164.38 = 13,728.24/x
  3. Step 3: Cross multiply
    33,462x = 50,164.38 × 13,728.24
  4. Step 4: Simplify right side
    33,462x = 688,668,648.09
  5. Step 5: Solve for x
    x = 688,668,648.09/33,462
  6. Step 6: Final answer
    x = 20,580.62

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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.