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Finding the Fourth Proportional to 20,582.92, 30,874.38 and 5,000.50

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Solution

The fourth proportional to 20,582.92, 30,874.38 and 5,000.50 is: 7,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.92 : 30,874.38 = 5,000.50 : x
  2. Step 2: Convert to fraction form
    20,582.92/30,874.38 = 5,000.50/x
  3. Step 3: Cross multiply
    20,582.92x = 30,874.38 × 5,000.50
  4. Step 4: Simplify right side
    20,582.92x = 154,387,337.19
  5. Step 5: Solve for x
    x = 154,387,337.19/20,582.92
  6. Step 6: Final answer
    x = 7,500.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.