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Finding the Fourth Proportional to 42,176.20, 63,321.90 and 21,414.28

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Solution

The fourth proportional to 42,176.20, 63,321.90 and 21,414.28 is: 32,150.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,176.20 : 63,321.90 = 21,414.28 : x
  2. Step 2: Convert to fraction form
    42,176.20/63,321.90 = 21,414.28/x
  3. Step 3: Cross multiply
    42,176.20x = 63,321.90 × 21,414.28
  4. Step 4: Simplify right side
    42,176.20x = 1,355,992,896.73
  5. Step 5: Solve for x
    x = 1,355,992,896.73/42,176.20
  6. Step 6: Final answer
    x = 32,150.67

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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.