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Finding the Fourth Proportional to 38,800.50, 53,544.69 and 21,136.50

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Solution

The fourth proportional to 38,800.50, 53,544.69 and 21,136.50 is: 29,168.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,800.50 : 53,544.69 = 21,136.50 : x
  2. Step 2: Convert to fraction form
    38,800.50/53,544.69 = 21,136.50/x
  3. Step 3: Cross multiply
    38,800.50x = 53,544.69 × 21,136.50
  4. Step 4: Simplify right side
    38,800.50x = 1,131,747,340.19
  5. Step 5: Solve for x
    x = 1,131,747,340.19/38,800.50
  6. Step 6: Final answer
    x = 29,168.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.