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Finding the Fourth Proportional to 41,450.49, 57,199.84 and 23,545.24

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Solution

The fourth proportional to 41,450.49, 57,199.84 and 23,545.24 is: 32,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,450.49 : 57,199.84 = 23,545.24 : x
  2. Step 2: Convert to fraction form
    41,450.49/57,199.84 = 23,545.24/x
  3. Step 3: Cross multiply
    41,450.49x = 57,199.84 × 23,545.24
  4. Step 4: Simplify right side
    41,450.49x = 1,346,783,960.76
  5. Step 5: Solve for x
    x = 1,346,783,960.76/41,450.49
  6. Step 6: Final answer
    x = 32,491.39

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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.