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Finding the Fourth Proportional to 34,683.80, 52,025.83 and 8,388.50

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Solution

The fourth proportional to 34,683.80, 52,025.83 and 8,388.50 is: 12,582.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,683.80 : 52,025.83 = 8,388.50 : x
  2. Step 2: Convert to fraction form
    34,683.80/52,025.83 = 8,388.50/x
  3. Step 3: Cross multiply
    34,683.80x = 52,025.83 × 8,388.50
  4. Step 4: Simplify right side
    34,683.80x = 436,418,393.85
  5. Step 5: Solve for x
    x = 436,418,393.85/34,683.80
  6. Step 6: Final answer
    x = 12,582.78

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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.