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Finding the Fourth Proportional to 38,414.38, 53,011.84 and 20,750.38

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Solution

The fourth proportional to 38,414.38, 53,011.84 and 20,750.38 is: 28,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,414.38 : 53,011.84 = 20,750.38 : x
  2. Step 2: Convert to fraction form
    38,414.38/53,011.84 = 20,750.38/x
  3. Step 3: Cross multiply
    38,414.38x = 53,011.84 × 20,750.38
  4. Step 4: Simplify right side
    38,414.38x = 1,100,015,559.44
  5. Step 5: Solve for x
    x = 1,100,015,559.44/38,414.38
  6. Step 6: Final answer
    x = 28,635.52

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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.