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Finding the Fourth Proportional to 20,029.50, 30,049.11 and 6,178.50

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Solution

The fourth proportional to 20,029.50, 30,049.11 and 6,178.50 is: 9,269.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,029.50 : 30,049.11 = 6,178.50 : x
  2. Step 2: Convert to fraction form
    20,029.50/30,049.11 = 6,178.50/x
  3. Step 3: Cross multiply
    20,029.50x = 30,049.11 × 6,178.50
  4. Step 4: Simplify right side
    20,029.50x = 185,658,426.14
  5. Step 5: Solve for x
    x = 185,658,426.14/20,029.50
  6. Step 6: Final answer
    x = 9,269.25

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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.