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Finding the Fourth Proportional to 38,402.40, 57,611.70 and 16,204.35

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Solution

The fourth proportional to 38,402.40, 57,611.70 and 16,204.35 is: 24,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,402.40 : 57,611.70 = 16,204.35 : x
  2. Step 2: Convert to fraction form
    38,402.40/57,611.70 = 16,204.35/x
  3. Step 3: Cross multiply
    38,402.40x = 57,611.70 × 16,204.35
  4. Step 4: Simplify right side
    38,402.40x = 933,560,150.90
  5. Step 5: Solve for x
    x = 933,560,150.90/38,402.40
  6. Step 6: Final answer
    x = 24,309.94

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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.