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Finding the Fourth Proportional to 41,525, 62,288.04 and 13,823

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Solution

The fourth proportional to 41,525, 62,288.04 and 13,823 is: 20,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,525 : 62,288.04 = 13,823 : x
  2. Step 2: Convert to fraction form
    41,525/62,288.04 = 13,823/x
  3. Step 3: Cross multiply
    41,525x = 62,288.04 × 13,823
  4. Step 4: Simplify right side
    41,525x = 861,007,576.92
  5. Step 5: Solve for x
    x = 861,007,576.92/41,525
  6. Step 6: Final answer
    x = 20,734.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.