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Finding the Fourth Proportional to 33,520, 50,208.24 and 17,674.96

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Solution

The fourth proportional to 33,520, 50,208.24 and 17,674.96 is: 26,474.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,520 : 50,208.24 = 17,674.96 : x
  2. Step 2: Convert to fraction form
    33,520/50,208.24 = 17,674.96/x
  3. Step 3: Cross multiply
    33,520x = 50,208.24 × 17,674.96
  4. Step 4: Simplify right side
    33,520x = 887,428,633.67
  5. Step 5: Solve for x
    x = 887,428,633.67/33,520
  6. Step 6: Final answer
    x = 26,474.60

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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.