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Finding the Fourth Proportional to 33,790, 50,685.18 and 9,166

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Solution

The fourth proportional to 33,790, 50,685.18 and 9,166 is: 13,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,790 : 50,685.18 = 9,166 : x
  2. Step 2: Convert to fraction form
    33,790/50,685.18 = 9,166/x
  3. Step 3: Cross multiply
    33,790x = 50,685.18 × 9,166
  4. Step 4: Simplify right side
    33,790x = 464,580,359.88
  5. Step 5: Solve for x
    x = 464,580,359.88/33,790
  6. Step 6: Final answer
    x = 13,749.05

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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.