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Finding the Fourth Proportional to 38,453.80, 57,648.70 and 16,284.20

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Solution

The fourth proportional to 38,453.80, 57,648.70 and 16,284.20 is: 24,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,453.80 : 57,648.70 = 16,284.20 : x
  2. Step 2: Convert to fraction form
    38,453.80/57,648.70 = 16,284.20/x
  3. Step 3: Cross multiply
    38,453.80x = 57,648.70 × 16,284.20
  4. Step 4: Simplify right side
    38,453.80x = 938,762,960.54
  5. Step 5: Solve for x
    x = 938,762,960.54/38,453.80
  6. Step 6: Final answer
    x = 24,412.75

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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.