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Finding the Fourth Proportional to 29,729.43, 44,594.10 and 16,401.78

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Solution

The fourth proportional to 29,729.43, 44,594.10 and 16,401.78 is: 24,602.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729.43 : 44,594.10 = 16,401.78 : x
  2. Step 2: Convert to fraction form
    29,729.43/44,594.10 = 16,401.78/x
  3. Step 3: Cross multiply
    29,729.43x = 44,594.10 × 16,401.78
  4. Step 4: Simplify right side
    29,729.43x = 731,422,617.50
  5. Step 5: Solve for x
    x = 731,422,617.50/29,729.43
  6. Step 6: Final answer
    x = 24,602.65

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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.