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Finding the Fourth Proportional to 49,871.48, 68,813.22 and 29,730.23

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Solution

The fourth proportional to 49,871.48, 68,813.22 and 29,730.23 is: 41,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,871.48 : 68,813.22 = 29,730.23 : x
  2. Step 2: Convert to fraction form
    49,871.48/68,813.22 = 29,730.23/x
  3. Step 3: Cross multiply
    49,871.48x = 68,813.22 × 29,730.23
  4. Step 4: Simplify right side
    49,871.48x = 2,045,832,857.64
  5. Step 5: Solve for x
    x = 2,045,832,857.64/49,871.48
  6. Step 6: Final answer
    x = 41,022.10

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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.