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Finding the Fourth Proportional to 38,191.92, 57,226.32 and 20,670

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Solution

The fourth proportional to 38,191.92, 57,226.32 and 20,670 is: 30,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191.92 : 57,226.32 = 20,670 : x
  2. Step 2: Convert to fraction form
    38,191.92/57,226.32 = 20,670/x
  3. Step 3: Cross multiply
    38,191.92x = 57,226.32 × 20,670
  4. Step 4: Simplify right side
    38,191.92x = 1,182,868,034.40
  5. Step 5: Solve for x
    x = 1,182,868,034.40/38,191.92
  6. Step 6: Final answer
    x = 30,971.68

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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.