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Finding the Fourth Proportional to 32,761.64, 49,142.50 and 9,382.62

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Solution

The fourth proportional to 32,761.64, 49,142.50 and 9,382.62 is: 14,073.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761.64 : 49,142.50 = 9,382.62 : x
  2. Step 2: Convert to fraction form
    32,761.64/49,142.50 = 9,382.62/x
  3. Step 3: Cross multiply
    32,761.64x = 49,142.50 × 9,382.62
  4. Step 4: Simplify right side
    32,761.64x = 461,085,403.35
  5. Step 5: Solve for x
    x = 461,085,403.35/32,761.64
  6. Step 6: Final answer
    x = 14,073.94

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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.