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Finding the Fourth Proportional to 49,576.84, 68,390.66 and 31,653

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Solution

The fourth proportional to 49,576.84, 68,390.66 and 31,653 is: 43,664.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,576.84 : 68,390.66 = 31,653 : x
  2. Step 2: Convert to fraction form
    49,576.84/68,390.66 = 31,653/x
  3. Step 3: Cross multiply
    49,576.84x = 68,390.66 × 31,653
  4. Step 4: Simplify right side
    49,576.84x = 2,164,769,560.98
  5. Step 5: Solve for x
    x = 2,164,769,560.98/49,576.84
  6. Step 6: Final answer
    x = 43,664.94

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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.