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Finding the Fourth Proportional to 27,576.27, 41,371.71 and 14,425.11

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Solution

The fourth proportional to 27,576.27, 41,371.71 and 14,425.11 is: 21,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,576.27 : 41,371.71 = 14,425.11 : x
  2. Step 2: Convert to fraction form
    27,576.27/41,371.71 = 14,425.11/x
  3. Step 3: Cross multiply
    27,576.27x = 41,371.71 × 14,425.11
  4. Step 4: Simplify right side
    27,576.27x = 596,791,467.64
  5. Step 5: Solve for x
    x = 596,791,467.64/27,576.27
  6. Step 6: Final answer
    x = 21,641.49

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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.