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Finding the Fourth Proportional to 29,403.81, 40,576.41 and 16,827.75

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Solution

The fourth proportional to 29,403.81, 40,576.41 and 16,827.75 is: 23,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,403.81 : 40,576.41 = 16,827.75 : x
  2. Step 2: Convert to fraction form
    29,403.81/40,576.41 = 16,827.75/x
  3. Step 3: Cross multiply
    29,403.81x = 40,576.41 × 16,827.75
  4. Step 4: Simplify right side
    29,403.81x = 682,809,683.38
  5. Step 5: Solve for x
    x = 682,809,683.38/29,403.81
  6. Step 6: Final answer
    x = 23,221.81

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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.