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Finding the Fourth Proportional to 32,550.44, 48,825.51 and 13,827.60

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Solution

The fourth proportional to 32,550.44, 48,825.51 and 13,827.60 is: 20,741.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,550.44 : 48,825.51 = 13,827.60 : x
  2. Step 2: Convert to fraction form
    32,550.44/48,825.51 = 13,827.60/x
  3. Step 3: Cross multiply
    32,550.44x = 48,825.51 × 13,827.60
  4. Step 4: Simplify right side
    32,550.44x = 675,139,622.08
  5. Step 5: Solve for x
    x = 675,139,622.08/32,550.44
  6. Step 6: Final answer
    x = 20,741.34

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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.