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Finding the Fourth Proportional to 32,003.80, 48,020.10 and 14,464.60

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Solution

The fourth proportional to 32,003.80, 48,020.10 and 14,464.60 is: 21,703.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,003.80 : 48,020.10 = 14,464.60 : x
  2. Step 2: Convert to fraction form
    32,003.80/48,020.10 = 14,464.60/x
  3. Step 3: Cross multiply
    32,003.80x = 48,020.10 × 14,464.60
  4. Step 4: Simplify right side
    32,003.80x = 694,591,538.46
  5. Step 5: Solve for x
    x = 694,591,538.46/32,003.80
  6. Step 6: Final answer
    x = 21,703.41

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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.