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Finding the Fourth Proportional to 33,805, 50,707.70 and 9,181

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Solution

The fourth proportional to 33,805, 50,707.70 and 9,181 is: 13,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,805 : 50,707.70 = 9,181 : x
  2. Step 2: Convert to fraction form
    33,805/50,707.70 = 9,181/x
  3. Step 3: Cross multiply
    33,805x = 50,707.70 × 9,181
  4. Step 4: Simplify right side
    33,805x = 465,547,393.70
  5. Step 5: Solve for x
    x = 465,547,393.70/33,805
  6. Step 6: Final answer
    x = 13,771.55

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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.