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Finding the Fourth Proportional to 20,583, 30,874.50 and 5,000.67

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Solution

The fourth proportional to 20,583, 30,874.50 and 5,000.67 is: 7,501.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,583 : 30,874.50 = 5,000.67 : x
  2. Step 2: Convert to fraction form
    20,583/30,874.50 = 5,000.67/x
  3. Step 3: Cross multiply
    20,583x = 30,874.50 × 5,000.67
  4. Step 4: Simplify right side
    20,583x = 154,393,185.92
  5. Step 5: Solve for x
    x = 154,393,185.92/20,583
  6. Step 6: Final answer
    x = 7,501.01

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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.