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Finding the Fourth Proportional to 32,563.44, 48,847.86 and 9,190.08

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Solution

The fourth proportional to 32,563.44, 48,847.86 and 9,190.08 is: 13,785.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,563.44 : 48,847.86 = 9,190.08 : x
  2. Step 2: Convert to fraction form
    32,563.44/48,847.86 = 9,190.08/x
  3. Step 3: Cross multiply
    32,563.44x = 48,847.86 × 9,190.08
  4. Step 4: Simplify right side
    32,563.44x = 448,915,741.23
  5. Step 5: Solve for x
    x = 448,915,741.23/32,563.44
  6. Step 6: Final answer
    x = 13,785.88

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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.