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Finding the Fourth Proportional to 20,048.50, 30,083.76 and 10,188.63

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Solution

The fourth proportional to 20,048.50, 30,083.76 and 10,188.63 is: 15,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.50 : 30,083.76 = 10,188.63 : x
  2. Step 2: Convert to fraction form
    20,048.50/30,083.76 = 10,188.63/x
  3. Step 3: Cross multiply
    20,048.50x = 30,083.76 × 10,188.63
  4. Step 4: Simplify right side
    20,048.50x = 306,512,299.65
  5. Step 5: Solve for x
    x = 306,512,299.65/20,048.50
  6. Step 6: Final answer
    x = 15,288.54

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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.