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Finding the Fourth Proportional to 32,043.09, 48,065.96 and 10,997.60

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Solution

The fourth proportional to 32,043.09, 48,065.96 and 10,997.60 is: 16,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.09 : 48,065.96 = 10,997.60 : x
  2. Step 2: Convert to fraction form
    32,043.09/48,065.96 = 10,997.60/x
  3. Step 3: Cross multiply
    32,043.09x = 48,065.96 × 10,997.60
  4. Step 4: Simplify right side
    32,043.09x = 528,609,906.38
  5. Step 5: Solve for x
    x = 528,609,906.38/32,043.09
  6. Step 6: Final answer
    x = 16,496.85

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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.