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Finding the Fourth Proportional to 32,548.64, 48,817.24 and 12,832.68

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Solution

The fourth proportional to 32,548.64, 48,817.24 and 12,832.68 is: 19,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.64 : 48,817.24 = 12,832.68 : x
  2. Step 2: Convert to fraction form
    32,548.64/48,817.24 = 12,832.68/x
  3. Step 3: Cross multiply
    32,548.64x = 48,817.24 × 12,832.68
  4. Step 4: Simplify right side
    32,548.64x = 626,456,019.40
  5. Step 5: Solve for x
    x = 626,456,019.40/32,548.64
  6. Step 6: Final answer
    x = 19,246.76

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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.