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Finding the Fourth Proportional to 49,871.81, 68,813.70 and 29,730.57

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Solution

The fourth proportional to 49,871.81, 68,813.70 and 29,730.57 is: 41,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,871.81 : 68,813.70 = 29,730.57 : x
  2. Step 2: Convert to fraction form
    49,871.81/68,813.70 = 29,730.57/x
  3. Step 3: Cross multiply
    49,871.81x = 68,813.70 × 29,730.57
  4. Step 4: Simplify right side
    49,871.81x = 2,045,870,524.81
  5. Step 5: Solve for x
    x = 2,045,870,524.81/49,871.81
  6. Step 6: Final answer
    x = 41,022.58

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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.