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Finding the Fourth Proportional to 83,100.40, 124,650.80 and 33,184.56

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Solution

The fourth proportional to 83,100.40, 124,650.80 and 33,184.56 is: 49,776.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,100.40 : 124,650.80 = 33,184.56 : x
  2. Step 2: Convert to fraction form
    83,100.40/124,650.80 = 33,184.56/x
  3. Step 3: Cross multiply
    83,100.40x = 124,650.80 × 33,184.56
  4. Step 4: Simplify right side
    83,100.40x = 4,136,481,951.65
  5. Step 5: Solve for x
    x = 4,136,481,951.65/83,100.40
  6. Step 6: Final answer
    x = 49,776.92

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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.