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Finding the Fourth Proportional to 68,582.50, 102,906.10 and 24,230.14

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Solution

The fourth proportional to 68,582.50, 102,906.10 and 24,230.14 is: 36,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,582.50 : 102,906.10 = 24,230.14 : x
  2. Step 2: Convert to fraction form
    68,582.50/102,906.10 = 24,230.14/x
  3. Step 3: Cross multiply
    68,582.50x = 102,906.10 × 24,230.14
  4. Step 4: Simplify right side
    68,582.50x = 2,493,429,209.85
  5. Step 5: Solve for x
    x = 2,493,429,209.85/68,582.50
  6. Step 6: Final answer
    x = 36,356.64

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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.