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Finding the Fourth Proportional to 47,299.20, 65,261.12 and 30,512

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Solution

The fourth proportional to 47,299.20, 65,261.12 and 30,512 is: 42,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,299.20 : 65,261.12 = 30,512 : x
  2. Step 2: Convert to fraction form
    47,299.20/65,261.12 = 30,512/x
  3. Step 3: Cross multiply
    47,299.20x = 65,261.12 × 30,512
  4. Step 4: Simplify right side
    47,299.20x = 1,991,247,293.44
  5. Step 5: Solve for x
    x = 1,991,247,293.44/47,299.20
  6. Step 6: Final answer
    x = 42,098.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.