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Finding the Fourth Proportional to 32,896.18, 49,350.75 and 9,522.82

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Solution

The fourth proportional to 32,896.18, 49,350.75 and 9,522.82 is: 14,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.18 : 49,350.75 = 9,522.82 : x
  2. Step 2: Convert to fraction form
    32,896.18/49,350.75 = 9,522.82/x
  3. Step 3: Cross multiply
    32,896.18x = 49,350.75 × 9,522.82
  4. Step 4: Simplify right side
    32,896.18x = 469,958,309.12
  5. Step 5: Solve for x
    x = 469,958,309.12/32,896.18
  6. Step 6: Final answer
    x = 14,286.11

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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.