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Finding the Fourth Proportional to 32,453.76, 48,676.86 and 9,082.02

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Solution

The fourth proportional to 32,453.76, 48,676.86 and 9,082.02 is: 13,621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,453.76 : 48,676.86 = 9,082.02 : x
  2. Step 2: Convert to fraction form
    32,453.76/48,676.86 = 9,082.02/x
  3. Step 3: Cross multiply
    32,453.76x = 48,676.86 × 9,082.02
  4. Step 4: Simplify right side
    32,453.76x = 442,084,216.06
  5. Step 5: Solve for x
    x = 442,084,216.06/32,453.76
  6. Step 6: Final answer
    x = 13,621.97

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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.