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Finding the Fourth Proportional to 29,876.67, 41,203.22 and 23,578.11

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Solution

The fourth proportional to 29,876.67, 41,203.22 and 23,578.11 is: 32,516.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,876.67 : 41,203.22 = 23,578.11 : x
  2. Step 2: Convert to fraction form
    29,876.67/41,203.22 = 23,578.11/x
  3. Step 3: Cross multiply
    29,876.67x = 41,203.22 × 23,578.11
  4. Step 4: Simplify right side
    29,876.67x = 971,493,935.62
  5. Step 5: Solve for x
    x = 971,493,935.62/29,876.67
  6. Step 6: Final answer
    x = 32,516.81

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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.