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Finding the Fourth Proportional to 34,511.72, 51,757.82 and 9,545.96

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Solution

The fourth proportional to 34,511.72, 51,757.82 and 9,545.96 is: 14,316.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,511.72 : 51,757.82 = 9,545.96 : x
  2. Step 2: Convert to fraction form
    34,511.72/51,757.82 = 9,545.96/x
  3. Step 3: Cross multiply
    34,511.72x = 51,757.82 × 9,545.96
  4. Step 4: Simplify right side
    34,511.72x = 494,078,079.41
  5. Step 5: Solve for x
    x = 494,078,079.41/34,511.72
  6. Step 6: Final answer
    x = 14,316.24

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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.