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Finding the Fourth Proportional to 29,884.64, 44,812.65 and 17,408.22

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Solution

The fourth proportional to 29,884.64, 44,812.65 and 17,408.22 is: 26,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,884.64 : 44,812.65 = 17,408.22 : x
  2. Step 2: Convert to fraction form
    29,884.64/44,812.65 = 17,408.22/x
  3. Step 3: Cross multiply
    29,884.64x = 44,812.65 × 17,408.22
  4. Step 4: Simplify right side
    29,884.64x = 780,108,469.98
  5. Step 5: Solve for x
    x = 780,108,469.98/29,884.64
  6. Step 6: Final answer
    x = 26,104.00

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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.