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Finding the Fourth Proportional to 33,173, 49,759.19 and 13,446.87

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Solution

The fourth proportional to 33,173, 49,759.19 and 13,446.87 is: 20,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,173 : 49,759.19 = 13,446.87 : x
  2. Step 2: Convert to fraction form
    33,173/49,759.19 = 13,446.87/x
  3. Step 3: Cross multiply
    33,173x = 49,759.19 × 13,446.87
  4. Step 4: Simplify right side
    33,173x = 669,105,359.24
  5. Step 5: Solve for x
    x = 669,105,359.24/33,173
  6. Step 6: Final answer
    x = 20,170.18

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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.