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Finding the Fourth Proportional to 30,775.91, 42,442.57 and 20,171.39

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Solution

The fourth proportional to 30,775.91, 42,442.57 and 20,171.39 is: 27,818.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.91 : 42,442.57 = 20,171.39 : x
  2. Step 2: Convert to fraction form
    30,775.91/42,442.57 = 20,171.39/x
  3. Step 3: Cross multiply
    30,775.91x = 42,442.57 × 20,171.39
  4. Step 4: Simplify right side
    30,775.91x = 856,125,687.75
  5. Step 5: Solve for x
    x = 856,125,687.75/30,775.91
  6. Step 6: Final answer
    x = 27,818.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.