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Finding the Fourth Proportional to 38,351.44, 57,534.96 and 16,164.78

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Solution

The fourth proportional to 38,351.44, 57,534.96 and 16,164.78 is: 24,250.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,351.44 : 57,534.96 = 16,164.78 : x
  2. Step 2: Convert to fraction form
    38,351.44/57,534.96 = 16,164.78/x
  3. Step 3: Cross multiply
    38,351.44x = 57,534.96 × 16,164.78
  4. Step 4: Simplify right side
    38,351.44x = 930,039,805.55
  5. Step 5: Solve for x
    x = 930,039,805.55/38,351.44
  6. Step 6: Final answer
    x = 24,250.46

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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.