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Finding the Fourth Proportional to 32,097.69, 48,136.82 and 8,721.09

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Solution

The fourth proportional to 32,097.69, 48,136.82 and 8,721.09 is: 13,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.69 : 48,136.82 = 8,721.09 : x
  2. Step 2: Convert to fraction form
    32,097.69/48,136.82 = 8,721.09/x
  3. Step 3: Cross multiply
    32,097.69x = 48,136.82 × 8,721.09
  4. Step 4: Simplify right side
    32,097.69x = 419,805,495.93
  5. Step 5: Solve for x
    x = 419,805,495.93/32,097.69
  6. Step 6: Final answer
    x = 13,078.99

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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.