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Finding the Fourth Proportional to 29,238.93, 43,861.16 and 8,178.96

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Solution

The fourth proportional to 29,238.93, 43,861.16 and 8,178.96 is: 12,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,238.93 : 43,861.16 = 8,178.96 : x
  2. Step 2: Convert to fraction form
    29,238.93/43,861.16 = 8,178.96/x
  3. Step 3: Cross multiply
    29,238.93x = 43,861.16 × 8,178.96
  4. Step 4: Simplify right side
    29,238.93x = 358,738,673.19
  5. Step 5: Solve for x
    x = 358,738,673.19/29,238.93
  6. Step 6: Final answer
    x = 12,269.21

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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.