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Finding the Fourth Proportional to 49,076.84, 67,725.86 and 26,721

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Solution

The fourth proportional to 49,076.84, 67,725.86 and 26,721 is: 36,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,076.84 : 67,725.86 = 26,721 : x
  2. Step 2: Convert to fraction form
    49,076.84/67,725.86 = 26,721/x
  3. Step 3: Cross multiply
    49,076.84x = 67,725.86 × 26,721
  4. Step 4: Simplify right side
    49,076.84x = 1,809,702,705.06
  5. Step 5: Solve for x
    x = 1,809,702,705.06/49,076.84
  6. Step 6: Final answer
    x = 36,874.88

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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.