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Finding the Fourth Proportional to 32,548.40, 48,822.60 and 20,147.30

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Solution

The fourth proportional to 32,548.40, 48,822.60 and 20,147.30 is: 30,220.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.40 : 48,822.60 = 20,147.30 : x
  2. Step 2: Convert to fraction form
    32,548.40/48,822.60 = 20,147.30/x
  3. Step 3: Cross multiply
    32,548.40x = 48,822.60 × 20,147.30
  4. Step 4: Simplify right side
    32,548.40x = 983,643,568.98
  5. Step 5: Solve for x
    x = 983,643,568.98/32,548.40
  6. Step 6: Final answer
    x = 30,220.95

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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.