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Finding the Fourth Proportional to 29,713.78, 44,577.90 and 8,937.28

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Solution

The fourth proportional to 29,713.78, 44,577.90 and 8,937.28 is: 13,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,713.78 : 44,577.90 = 8,937.28 : x
  2. Step 2: Convert to fraction form
    29,713.78/44,577.90 = 8,937.28/x
  3. Step 3: Cross multiply
    29,713.78x = 44,577.90 × 8,937.28
  4. Step 4: Simplify right side
    29,713.78x = 398,405,174.11
  5. Step 5: Solve for x
    x = 398,405,174.11/29,713.78
  6. Step 6: Final answer
    x = 13,408.09

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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.