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Finding the Fourth Proportional to 38,514.04, 57,759.30 and 16,327

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Solution

The fourth proportional to 38,514.04, 57,759.30 and 16,327 is: 24,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,514.04 : 57,759.30 = 16,327 : x
  2. Step 2: Convert to fraction form
    38,514.04/57,759.30 = 16,327/x
  3. Step 3: Cross multiply
    38,514.04x = 57,759.30 × 16,327
  4. Step 4: Simplify right side
    38,514.04x = 943,036,091.10
  5. Step 5: Solve for x
    x = 943,036,091.10/38,514.04
  6. Step 6: Final answer
    x = 24,485.51

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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.