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Finding the Fourth Proportional to 32,114.20, 48,171.30 and 13,646.20

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Solution

The fourth proportional to 32,114.20, 48,171.30 and 13,646.20 is: 20,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.20 : 48,171.30 = 13,646.20 : x
  2. Step 2: Convert to fraction form
    32,114.20/48,171.30 = 13,646.20/x
  3. Step 3: Cross multiply
    32,114.20x = 48,171.30 × 13,646.20
  4. Step 4: Simplify right side
    32,114.20x = 657,355,194.06
  5. Step 5: Solve for x
    x = 657,355,194.06/32,114.20
  6. Step 6: Final answer
    x = 20,469.30

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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.