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Finding the Fourth Proportional to 29,416.86, 40,578.84 and 18,078.48

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Solution

The fourth proportional to 29,416.86, 40,578.84 and 18,078.48 is: 24,938.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,416.86 : 40,578.84 = 18,078.48 : x
  2. Step 2: Convert to fraction form
    29,416.86/40,578.84 = 18,078.48/x
  3. Step 3: Cross multiply
    29,416.86x = 40,578.84 × 18,078.48
  4. Step 4: Simplify right side
    29,416.86x = 733,603,747.36
  5. Step 5: Solve for x
    x = 733,603,747.36/29,416.86
  6. Step 6: Final answer
    x = 24,938.21

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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.