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Finding the Fourth Proportional to 31,717.96, 47,576.94 and 13,237

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Solution

The fourth proportional to 31,717.96, 47,576.94 and 13,237 is: 19,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,717.96 : 47,576.94 = 13,237 : x
  2. Step 2: Convert to fraction form
    31,717.96/47,576.94 = 13,237/x
  3. Step 3: Cross multiply
    31,717.96x = 47,576.94 × 13,237
  4. Step 4: Simplify right side
    31,717.96x = 629,775,954.78
  5. Step 5: Solve for x
    x = 629,775,954.78/31,717.96
  6. Step 6: Final answer
    x = 19,855.50

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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.