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Finding the Fourth Proportional to 29,231.12, 43,846.68 and 9,511.68

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Solution

The fourth proportional to 29,231.12, 43,846.68 and 9,511.68 is: 14,267.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,231.12 : 43,846.68 = 9,511.68 : x
  2. Step 2: Convert to fraction form
    29,231.12/43,846.68 = 9,511.68/x
  3. Step 3: Cross multiply
    29,231.12x = 43,846.68 × 9,511.68
  4. Step 4: Simplify right side
    29,231.12x = 417,055,589.22
  5. Step 5: Solve for x
    x = 417,055,589.22/29,231.12
  6. Step 6: Final answer
    x = 14,267.52

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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.