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Finding the Fourth Proportional to 33,775, 50,662.50 and 9,151

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Solution

The fourth proportional to 33,775, 50,662.50 and 9,151 is: 13,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,775 : 50,662.50 = 9,151 : x
  2. Step 2: Convert to fraction form
    33,775/50,662.50 = 9,151/x
  3. Step 3: Cross multiply
    33,775x = 50,662.50 × 9,151
  4. Step 4: Simplify right side
    33,775x = 463,612,537.50
  5. Step 5: Solve for x
    x = 463,612,537.50/33,775
  6. Step 6: Final answer
    x = 13,726.50

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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.