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Finding the Fourth Proportional to 39,280.82, 54,203.13 and 23,147.09

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Solution

The fourth proportional to 39,280.82, 54,203.13 and 23,147.09 is: 31,940.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,280.82 : 54,203.13 = 23,147.09 : x
  2. Step 2: Convert to fraction form
    39,280.82/54,203.13 = 23,147.09/x
  3. Step 3: Cross multiply
    39,280.82x = 54,203.13 × 23,147.09
  4. Step 4: Simplify right side
    39,280.82x = 1,254,644,457.38
  5. Step 5: Solve for x
    x = 1,254,644,457.38/39,280.82
  6. Step 6: Final answer
    x = 31,940.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.