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Finding the Fourth Proportional to 47,759.28, 65,906.46 and 26,538

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Solution

The fourth proportional to 47,759.28, 65,906.46 and 26,538 is: 36,621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759.28 : 65,906.46 = 26,538 : x
  2. Step 2: Convert to fraction form
    47,759.28/65,906.46 = 26,538/x
  3. Step 3: Cross multiply
    47,759.28x = 65,906.46 × 26,538
  4. Step 4: Simplify right side
    47,759.28x = 1,749,025,635.48
  5. Step 5: Solve for x
    x = 1,749,025,635.48/47,759.28
  6. Step 6: Final answer
    x = 36,621.69

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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.