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Finding the Fourth Proportional to 32,011.29, 48,004.11 and 13,278.60

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Solution

The fourth proportional to 32,011.29, 48,004.11 and 13,278.60 is: 19,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.29 : 48,004.11 = 13,278.60 : x
  2. Step 2: Convert to fraction form
    32,011.29/48,004.11 = 13,278.60/x
  3. Step 3: Cross multiply
    32,011.29x = 48,004.11 × 13,278.60
  4. Step 4: Simplify right side
    32,011.29x = 637,427,375.05
  5. Step 5: Solve for x
    x = 637,427,375.05/32,011.29
  6. Step 6: Final answer
    x = 19,912.58

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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.