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Finding the Fourth Proportional to 32,067.72, 48,102.66 and 8,694.72

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Solution

The fourth proportional to 32,067.72, 48,102.66 and 8,694.72 is: 13,042.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.72 : 48,102.66 = 8,694.72 : x
  2. Step 2: Convert to fraction form
    32,067.72/48,102.66 = 8,694.72/x
  3. Step 3: Cross multiply
    32,067.72x = 48,102.66 × 8,694.72
  4. Step 4: Simplify right side
    32,067.72x = 418,239,159.96
  5. Step 5: Solve for x
    x = 418,239,159.96/32,067.72
  6. Step 6: Final answer
    x = 13,042.37

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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.