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Finding the Fourth Proportional to 32,520.60, 48,790.08 and 9,147.24

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Solution

The fourth proportional to 32,520.60, 48,790.08 and 9,147.24 is: 13,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,520.60 : 48,790.08 = 9,147.24 : x
  2. Step 2: Convert to fraction form
    32,520.60/48,790.08 = 9,147.24/x
  3. Step 3: Cross multiply
    32,520.60x = 48,790.08 × 9,147.24
  4. Step 4: Simplify right side
    32,520.60x = 446,294,571.38
  5. Step 5: Solve for x
    x = 446,294,571.38/32,520.60
  6. Step 6: Final answer
    x = 13,723.44

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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.