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Finding the Fourth Proportional to 29,132.12, 43,704.66 and 8,354

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Solution

The fourth proportional to 29,132.12, 43,704.66 and 8,354 is: 12,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,132.12 : 43,704.66 = 8,354 : x
  2. Step 2: Convert to fraction form
    29,132.12/43,704.66 = 8,354/x
  3. Step 3: Cross multiply
    29,132.12x = 43,704.66 × 8,354
  4. Step 4: Simplify right side
    29,132.12x = 365,108,729.64
  5. Step 5: Solve for x
    x = 365,108,729.64/29,132.12
  6. Step 6: Final answer
    x = 12,532.86

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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.