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Finding the Fourth Proportional to 20,143.50, 30,216.06 and 5,352.54

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Solution

The fourth proportional to 20,143.50, 30,216.06 and 5,352.54 is: 8,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.50 : 30,216.06 = 5,352.54 : x
  2. Step 2: Convert to fraction form
    20,143.50/30,216.06 = 5,352.54/x
  3. Step 3: Cross multiply
    20,143.50x = 30,216.06 × 5,352.54
  4. Step 4: Simplify right side
    20,143.50x = 161,732,669.79
  5. Step 5: Solve for x
    x = 161,732,669.79/20,143.50
  6. Step 6: Final answer
    x = 8,029.03

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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.