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Finding the Fourth Proportional to 38,800, 53,544 and 22,033

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Solution

The fourth proportional to 38,800, 53,544 and 22,033 is: 30,405.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,800 : 53,544 = 22,033 : x
  2. Step 2: Convert to fraction form
    38,800/53,544 = 22,033/x
  3. Step 3: Cross multiply
    38,800x = 53,544 × 22,033
  4. Step 4: Simplify right side
    38,800x = 1,179,734,952
  5. Step 5: Solve for x
    x = 1,179,734,952/38,800
  6. Step 6: Final answer
    x = 30,405.54

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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.