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Finding the Fourth Proportional to 32,850.23, 49,282.61 and 9,476.64

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Solution

The fourth proportional to 32,850.23, 49,282.61 and 9,476.64 is: 14,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,850.23 : 49,282.61 = 9,476.64 : x
  2. Step 2: Convert to fraction form
    32,850.23/49,282.61 = 9,476.64/x
  3. Step 3: Cross multiply
    32,850.23x = 49,282.61 × 9,476.64
  4. Step 4: Simplify right side
    32,850.23x = 467,033,505.85
  5. Step 5: Solve for x
    x = 467,033,505.85/32,850.23
  6. Step 6: Final answer
    x = 14,217.06

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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.