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Finding the Fourth Proportional to 38,400.30, 57,591 and 16,202.25

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Solution

The fourth proportional to 38,400.30, 57,591 and 16,202.25 is: 24,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.30 : 57,591 = 16,202.25 : x
  2. Step 2: Convert to fraction form
    38,400.30/57,591 = 16,202.25/x
  3. Step 3: Cross multiply
    38,400.30x = 57,591 × 16,202.25
  4. Step 4: Simplify right side
    38,400.30x = 933,103,779.75
  5. Step 5: Solve for x
    x = 933,103,779.75/38,400.30
  6. Step 6: Final answer
    x = 24,299.39

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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.