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Finding the Fourth Proportional to 49,874.00, 68,835.02 and 29,732.20

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Solution

The fourth proportional to 49,874.00, 68,835.02 and 29,732.20 is: 41,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,874.00 : 68,835.02 = 29,732.20 : x
  2. Step 2: Convert to fraction form
    49,874.00/68,835.02 = 29,732.20/x
  3. Step 3: Cross multiply
    49,874.00x = 68,835.02 × 29,732.20
  4. Step 4: Simplify right side
    49,874.00x = 2,046,616,260.90
  5. Step 5: Solve for x
    x = 2,046,616,260.90/49,874.00
  6. Step 6: Final answer
    x = 41,035.74

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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.