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Finding the Fourth Proportional to 55,314.20, 82,922.70 and 33,136.40

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Solution

The fourth proportional to 55,314.20, 82,922.70 and 33,136.40 is: 49,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,314.20 : 82,922.70 = 33,136.40 : x
  2. Step 2: Convert to fraction form
    55,314.20/82,922.70 = 33,136.40/x
  3. Step 3: Cross multiply
    55,314.20x = 82,922.70 × 33,136.40
  4. Step 4: Simplify right side
    55,314.20x = 2,747,759,756.28
  5. Step 5: Solve for x
    x = 2,747,759,756.28/55,314.20
  6. Step 6: Final answer
    x = 49,675.49

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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.