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Finding the Fourth Proportional to 32,960.25, 49,440.39 and 8,000.33

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Solution

The fourth proportional to 32,960.25, 49,440.39 and 8,000.33 is: 12,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,960.25 : 49,440.39 = 8,000.33 : x
  2. Step 2: Convert to fraction form
    32,960.25/49,440.39 = 8,000.33/x
  3. Step 3: Cross multiply
    32,960.25x = 49,440.39 × 8,000.33
  4. Step 4: Simplify right side
    32,960.25x = 395,539,395.33
  5. Step 5: Solve for x
    x = 395,539,395.33/32,960.25
  6. Step 6: Final answer
    x = 12,000.50

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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.