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Finding the Fourth Proportional to 33,520.16, 46,213.80 and 27,859.76

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Solution

The fourth proportional to 33,520.16, 46,213.80 and 27,859.76 is: 38,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,520.16 : 46,213.80 = 27,859.76 : x
  2. Step 2: Convert to fraction form
    33,520.16/46,213.80 = 27,859.76/x
  3. Step 3: Cross multiply
    33,520.16x = 46,213.80 × 27,859.76
  4. Step 4: Simplify right side
    33,520.16x = 1,287,505,376.69
  5. Step 5: Solve for x
    x = 1,287,505,376.69/33,520.16
  6. Step 6: Final answer
    x = 38,409.88

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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.