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Finding the Fourth Proportional to 33,900, 46,782 and 19,752.84

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Solution

The fourth proportional to 33,900, 46,782 and 19,752.84 is: 27,258.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,900 : 46,782 = 19,752.84 : x
  2. Step 2: Convert to fraction form
    33,900/46,782 = 19,752.84/x
  3. Step 3: Cross multiply
    33,900x = 46,782 × 19,752.84
  4. Step 4: Simplify right side
    33,900x = 924,077,360.88
  5. Step 5: Solve for x
    x = 924,077,360.88/33,900
  6. Step 6: Final answer
    x = 27,258.92

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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.