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Finding the Fourth Proportional to 38,591.70, 57,855.15 and 20,123.70

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Solution

The fourth proportional to 38,591.70, 57,855.15 and 20,123.70 is: 30,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,591.70 : 57,855.15 = 20,123.70 : x
  2. Step 2: Convert to fraction form
    38,591.70/57,855.15 = 20,123.70/x
  3. Step 3: Cross multiply
    38,591.70x = 57,855.15 × 20,123.70
  4. Step 4: Simplify right side
    38,591.70x = 1,164,259,682.06
  5. Step 5: Solve for x
    x = 1,164,259,682.06/38,591.70
  6. Step 6: Final answer
    x = 30,168.65

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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.