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Finding the Fourth Proportional to 29,408, 44,112.24 and 10,940

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Solution

The fourth proportional to 29,408, 44,112.24 and 10,940 is: 16,410.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,408 : 44,112.24 = 10,940 : x
  2. Step 2: Convert to fraction form
    29,408/44,112.24 = 10,940/x
  3. Step 3: Cross multiply
    29,408x = 44,112.24 × 10,940
  4. Step 4: Simplify right side
    29,408x = 482,587,905.60
  5. Step 5: Solve for x
    x = 482,587,905.60/29,408
  6. Step 6: Final answer
    x = 16,410.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.