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Finding the Fourth Proportional to 33,455, 46,169.34 and 20,023.72

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Solution

The fourth proportional to 33,455, 46,169.34 and 20,023.72 is: 27,633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,455 : 46,169.34 = 20,023.72 : x
  2. Step 2: Convert to fraction form
    33,455/46,169.34 = 20,023.72/x
  3. Step 3: Cross multiply
    33,455x = 46,169.34 × 20,023.72
  4. Step 4: Simplify right side
    33,455x = 924,481,936.74
  5. Step 5: Solve for x
    x = 924,481,936.74/33,455
  6. Step 6: Final answer
    x = 27,633.60

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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.