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Finding the Fourth Proportional to 38,499.25, 57,738.85 and 16,301.20

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Solution

The fourth proportional to 38,499.25, 57,738.85 and 16,301.20 is: 24,447.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,499.25 : 57,738.85 = 16,301.20 : x
  2. Step 2: Convert to fraction form
    38,499.25/57,738.85 = 16,301.20/x
  3. Step 3: Cross multiply
    38,499.25x = 57,738.85 × 16,301.20
  4. Step 4: Simplify right side
    38,499.25x = 941,212,541.62
  5. Step 5: Solve for x
    x = 941,212,541.62/38,499.25
  6. Step 6: Final answer
    x = 24,447.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.