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Finding the Fourth Proportional to 38,506.70, 57,716.85 and 21,874.70

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Solution

The fourth proportional to 38,506.70, 57,716.85 and 21,874.70 is: 32,787.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,506.70 : 57,716.85 = 21,874.70 : x
  2. Step 2: Convert to fraction form
    38,506.70/57,716.85 = 21,874.70/x
  3. Step 3: Cross multiply
    38,506.70x = 57,716.85 × 21,874.70
  4. Step 4: Simplify right side
    38,506.70x = 1,262,538,778.70
  5. Step 5: Solve for x
    x = 1,262,538,778.70/38,506.70
  6. Step 6: Final answer
    x = 32,787.51

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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.