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Finding the Fourth Proportional to 38,539, 57,820.17 and 27,316.06

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Solution

The fourth proportional to 38,539, 57,820.17 and 27,316.06 is: 40,982.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,539 : 57,820.17 = 27,316.06 : x
  2. Step 2: Convert to fraction form
    38,539/57,820.17 = 27,316.06/x
  3. Step 3: Cross multiply
    38,539x = 57,820.17 × 27,316.06
  4. Step 4: Simplify right side
    38,539x = 1,579,419,232.93
  5. Step 5: Solve for x
    x = 1,579,419,232.93/38,539
  6. Step 6: Final answer
    x = 40,982.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.