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Finding the Fourth Proportional to 38,092.68, 57,129.75 and 15,906.24

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Solution

The fourth proportional to 38,092.68, 57,129.75 and 15,906.24 is: 23,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,092.68 : 57,129.75 = 15,906.24 : x
  2. Step 2: Convert to fraction form
    38,092.68/57,129.75 = 15,906.24/x
  3. Step 3: Cross multiply
    38,092.68x = 57,129.75 × 15,906.24
  4. Step 4: Simplify right side
    38,092.68x = 908,719,514.64
  5. Step 5: Solve for x
    x = 908,719,514.64/38,092.68
  6. Step 6: Final answer
    x = 23,855.49

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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.