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Finding the Fourth Proportional to 32,200.92, 48,287.99 and 12,468.11

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Solution

The fourth proportional to 32,200.92, 48,287.99 and 12,468.11 is: 18,696.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.92 : 48,287.99 = 12,468.11 : x
  2. Step 2: Convert to fraction form
    32,200.92/48,287.99 = 12,468.11/x
  3. Step 3: Cross multiply
    32,200.92x = 48,287.99 × 12,468.11
  4. Step 4: Simplify right side
    32,200.92x = 602,059,760.73
  5. Step 5: Solve for x
    x = 602,059,760.73/32,200.92
  6. Step 6: Final answer
    x = 18,696.97

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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.