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Finding the Fourth Proportional to 33,384.50, 50,085.30 and 23,543

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Solution

The fourth proportional to 33,384.50, 50,085.30 and 23,543 is: 35,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384.50 : 50,085.30 = 23,543 : x
  2. Step 2: Convert to fraction form
    33,384.50/50,085.30 = 23,543/x
  3. Step 3: Cross multiply
    33,384.50x = 50,085.30 × 23,543
  4. Step 4: Simplify right side
    33,384.50x = 1,179,158,217.90
  5. Step 5: Solve for x
    x = 1,179,158,217.90/33,384.50
  6. Step 6: Final answer
    x = 35,320.53

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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.