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Finding the Fourth Proportional to 47,240.28, 65,184.76 and 27,098

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Solution

The fourth proportional to 47,240.28, 65,184.76 and 27,098 is: 37,391.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,240.28 : 65,184.76 = 27,098 : x
  2. Step 2: Convert to fraction form
    47,240.28/65,184.76 = 27,098/x
  3. Step 3: Cross multiply
    47,240.28x = 65,184.76 × 27,098
  4. Step 4: Simplify right side
    47,240.28x = 1,766,376,626.48
  5. Step 5: Solve for x
    x = 1,766,376,626.48/47,240.28
  6. Step 6: Final answer
    x = 37,391.32

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Why These Related Problems?

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