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Finding the Fourth Proportional to 29,006.12, 43,505.58 and 8,231.24

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Solution

The fourth proportional to 29,006.12, 43,505.58 and 8,231.24 is: 12,345.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,006.12 : 43,505.58 = 8,231.24 : x
  2. Step 2: Convert to fraction form
    29,006.12/43,505.58 = 8,231.24/x
  3. Step 3: Cross multiply
    29,006.12x = 43,505.58 × 8,231.24
  4. Step 4: Simplify right side
    29,006.12x = 358,104,870.32
  5. Step 5: Solve for x
    x = 358,104,870.32/29,006.12
  6. Step 6: Final answer
    x = 12,345.84

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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.