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Finding the Fourth Proportional to 33,377, 50,065.50 and 8,753

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Solution

The fourth proportional to 33,377, 50,065.50 and 8,753 is: 13,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,377 : 50,065.50 = 8,753 : x
  2. Step 2: Convert to fraction form
    33,377/50,065.50 = 8,753/x
  3. Step 3: Cross multiply
    33,377x = 50,065.50 × 8,753
  4. Step 4: Simplify right side
    33,377x = 438,223,321.50
  5. Step 5: Solve for x
    x = 438,223,321.50/33,377
  6. Step 6: Final answer
    x = 13,129.50

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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.