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Finding the Fourth Proportional to 32,830.80, 49,234.68 and 9,450.96

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Solution

The fourth proportional to 32,830.80, 49,234.68 and 9,450.96 is: 14,173.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,830.80 : 49,234.68 = 9,450.96 : x
  2. Step 2: Convert to fraction form
    32,830.80/49,234.68 = 9,450.96/x
  3. Step 3: Cross multiply
    32,830.80x = 49,234.68 × 9,450.96
  4. Step 4: Simplify right side
    32,830.80x = 465,314,991.29
  5. Step 5: Solve for x
    x = 465,314,991.29/32,830.80
  6. Step 6: Final answer
    x = 14,173.12

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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.