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Finding the Fourth Proportional to 33,446, 46,162.68 and 20,020.25

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Solution

The fourth proportional to 33,446, 46,162.68 and 20,020.25 is: 27,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,446 : 46,162.68 = 20,020.25 : x
  2. Step 2: Convert to fraction form
    33,446/46,162.68 = 20,020.25/x
  3. Step 3: Cross multiply
    33,446x = 46,162.68 × 20,020.25
  4. Step 4: Simplify right side
    33,446x = 924,188,394.27
  5. Step 5: Solve for x
    x = 924,188,394.27/33,446
  6. Step 6: Final answer
    x = 27,632.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.