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Finding the Fourth Proportional to 20,087.85, 30,127.45 and 8,230

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Solution

The fourth proportional to 20,087.85, 30,127.45 and 8,230 is: 12,343.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,087.85 : 30,127.45 = 8,230 : x
  2. Step 2: Convert to fraction form
    20,087.85/30,127.45 = 8,230/x
  3. Step 3: Cross multiply
    20,087.85x = 30,127.45 × 8,230
  4. Step 4: Simplify right side
    20,087.85x = 247,948,913.50
  5. Step 5: Solve for x
    x = 247,948,913.50/20,087.85
  6. Step 6: Final answer
    x = 12,343.23

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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.