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Finding the Fourth Proportional to 38,452.80, 57,647.20 and 16,283.20

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Solution

The fourth proportional to 38,452.80, 57,647.20 and 16,283.20 is: 24,411.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,452.80 : 57,647.20 = 16,283.20 : x
  2. Step 2: Convert to fraction form
    38,452.80/57,647.20 = 16,283.20/x
  3. Step 3: Cross multiply
    38,452.80x = 57,647.20 × 16,283.20
  4. Step 4: Simplify right side
    38,452.80x = 938,680,887.04
  5. Step 5: Solve for x
    x = 938,680,887.04/38,452.80
  6. Step 6: Final answer
    x = 24,411.25

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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.