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Finding the Fourth Proportional to 27,688.50, 41,532.57 and 6,912

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Solution

The fourth proportional to 27,688.50, 41,532.57 and 6,912 is: 10,367.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,688.50 : 41,532.57 = 6,912 : x
  2. Step 2: Convert to fraction form
    27,688.50/41,532.57 = 6,912/x
  3. Step 3: Cross multiply
    27,688.50x = 41,532.57 × 6,912
  4. Step 4: Simplify right side
    27,688.50x = 287,073,123.84
  5. Step 5: Solve for x
    x = 287,073,123.84/27,688.50
  6. Step 6: Final answer
    x = 10,367.96

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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.