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Finding the Fourth Proportional to 38,279.34, 57,419.01 and 20,859.87

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Solution

The fourth proportional to 38,279.34, 57,419.01 and 20,859.87 is: 31,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,279.34 : 57,419.01 = 20,859.87 : x
  2. Step 2: Convert to fraction form
    38,279.34/57,419.01 = 20,859.87/x
  3. Step 3: Cross multiply
    38,279.34x = 57,419.01 × 20,859.87
  4. Step 4: Simplify right side
    38,279.34x = 1,197,753,084.13
  5. Step 5: Solve for x
    x = 1,197,753,084.13/38,279.34
  6. Step 6: Final answer
    x = 31,289.81

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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.