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Finding the Fourth Proportional to 32,147.92, 48,229.36 and 9,960.12

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Solution

The fourth proportional to 32,147.92, 48,229.36 and 9,960.12 is: 14,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.92 : 48,229.36 = 9,960.12 : x
  2. Step 2: Convert to fraction form
    32,147.92/48,229.36 = 9,960.12/x
  3. Step 3: Cross multiply
    32,147.92x = 48,229.36 × 9,960.12
  4. Step 4: Simplify right side
    32,147.92x = 480,370,213.12
  5. Step 5: Solve for x
    x = 480,370,213.12/32,147.92
  6. Step 6: Final answer
    x = 14,942.50

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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.