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Finding the Fourth Proportional to 32,049, 48,067.56 and 8,672.40

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Solution

The fourth proportional to 32,049, 48,067.56 and 8,672.40 is: 13,006.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,049 : 48,067.56 = 8,672.40 : x
  2. Step 2: Convert to fraction form
    32,049/48,067.56 = 8,672.40/x
  3. Step 3: Cross multiply
    32,049x = 48,067.56 × 8,672.40
  4. Step 4: Simplify right side
    32,049x = 416,861,107.34
  5. Step 5: Solve for x
    x = 416,861,107.34/32,049
  6. Step 6: Final answer
    x = 13,006.99

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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.