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Finding the Fourth Proportional to 38,208.42, 57,294.19 and 16,015.84

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Solution

The fourth proportional to 38,208.42, 57,294.19 and 16,015.84 is: 24,016.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,208.42 : 57,294.19 = 16,015.84 : x
  2. Step 2: Convert to fraction form
    38,208.42/57,294.19 = 16,015.84/x
  3. Step 3: Cross multiply
    38,208.42x = 57,294.19 × 16,015.84
  4. Step 4: Simplify right side
    38,208.42x = 917,614,333.54
  5. Step 5: Solve for x
    x = 917,614,333.54/38,208.42
  6. Step 6: Final answer
    x = 24,016.03

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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.