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Finding the Fourth Proportional to 38,451.80, 57,645.70 and 16,282.20

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Solution

The fourth proportional to 38,451.80, 57,645.70 and 16,282.20 is: 24,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,451.80 : 57,645.70 = 16,282.20 : x
  2. Step 2: Convert to fraction form
    38,451.80/57,645.70 = 16,282.20/x
  3. Step 3: Cross multiply
    38,451.80x = 57,645.70 × 16,282.20
  4. Step 4: Simplify right side
    38,451.80x = 938,598,816.54
  5. Step 5: Solve for x
    x = 938,598,816.54/38,451.80
  6. Step 6: Final answer
    x = 24,409.75

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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.