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Finding the Fourth Proportional to 34,234.56, 51,354.72 and 10,856.16

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Solution

The fourth proportional to 34,234.56, 51,354.72 and 10,856.16 is: 16,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,234.56 : 51,354.72 = 10,856.16 : x
  2. Step 2: Convert to fraction form
    34,234.56/51,354.72 = 10,856.16/x
  3. Step 3: Cross multiply
    34,234.56x = 51,354.72 × 10,856.16
  4. Step 4: Simplify right side
    34,234.56x = 557,515,057.08
  5. Step 5: Solve for x
    x = 557,515,057.08/34,234.56
  6. Step 6: Final answer
    x = 16,285.15

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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.