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Finding the Fourth Proportional to 33,452.04, 50,180.76 and 12,675

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Solution

The fourth proportional to 33,452.04, 50,180.76 and 12,675 is: 19,013.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,452.04 : 50,180.76 = 12,675 : x
  2. Step 2: Convert to fraction form
    33,452.04/50,180.76 = 12,675/x
  3. Step 3: Cross multiply
    33,452.04x = 50,180.76 × 12,675
  4. Step 4: Simplify right side
    33,452.04x = 636,041,133
  5. Step 5: Solve for x
    x = 636,041,133/33,452.04
  6. Step 6: Final answer
    x = 19,013.52

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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.