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Finding the Fourth Proportional to 27,732.50, 41,600.87 and 8,011.23

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Solution

The fourth proportional to 27,732.50, 41,600.87 and 8,011.23 is: 12,017.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.50 : 41,600.87 = 8,011.23 : x
  2. Step 2: Convert to fraction form
    27,732.50/41,600.87 = 8,011.23/x
  3. Step 3: Cross multiply
    27,732.50x = 41,600.87 × 8,011.23
  4. Step 4: Simplify right side
    27,732.50x = 333,274,137.77
  5. Step 5: Solve for x
    x = 333,274,137.77/27,732.50
  6. Step 6: Final answer
    x = 12,017.46

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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.