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Finding the Fourth Proportional to 32,919.10, 49,234.65 and 29,434.30

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Solution

The fourth proportional to 32,919.10, 49,234.65 and 29,434.30 is: 44,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,919.10 : 49,234.65 = 29,434.30 : x
  2. Step 2: Convert to fraction form
    32,919.10/49,234.65 = 29,434.30/x
  3. Step 3: Cross multiply
    32,919.10x = 49,234.65 × 29,434.30
  4. Step 4: Simplify right side
    32,919.10x = 1,449,187,458.50
  5. Step 5: Solve for x
    x = 1,449,187,458.50/32,919.10
  6. Step 6: Final answer
    x = 44,022.69

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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.