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Finding the Fourth Proportional to 38,206.30, 57,309.18 and 20,786.86

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Solution

The fourth proportional to 38,206.30, 57,309.18 and 20,786.86 is: 31,180.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,206.30 : 57,309.18 = 20,786.86 : x
  2. Step 2: Convert to fraction form
    38,206.30/57,309.18 = 20,786.86/x
  3. Step 3: Cross multiply
    38,206.30x = 57,309.18 × 20,786.86
  4. Step 4: Simplify right side
    38,206.30x = 1,191,277,901.37
  5. Step 5: Solve for x
    x = 1,191,277,901.37/38,206.30
  6. Step 6: Final answer
    x = 31,180.14

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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.