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Finding the Fourth Proportional to 32,206.99, 48,311.86 and 8,833.43

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Solution

The fourth proportional to 32,206.99, 48,311.86 and 8,833.43 is: 13,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,206.99 : 48,311.86 = 8,833.43 : x
  2. Step 2: Convert to fraction form
    32,206.99/48,311.86 = 8,833.43/x
  3. Step 3: Cross multiply
    32,206.99x = 48,311.86 × 8,833.43
  4. Step 4: Simplify right side
    32,206.99x = 426,759,375.60
  5. Step 5: Solve for x
    x = 426,759,375.60/32,206.99
  6. Step 6: Final answer
    x = 13,250.52

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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.