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Finding the Fourth Proportional to 32,189.20, 48,281.40 and 13,464.40

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Solution

The fourth proportional to 32,189.20, 48,281.40 and 13,464.40 is: 20,195.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.20 : 48,281.40 = 13,464.40 : x
  2. Step 2: Convert to fraction form
    32,189.20/48,281.40 = 13,464.40/x
  3. Step 3: Cross multiply
    32,189.20x = 48,281.40 × 13,464.40
  4. Step 4: Simplify right side
    32,189.20x = 650,080,082.16
  5. Step 5: Solve for x
    x = 650,080,082.16/32,189.20
  6. Step 6: Final answer
    x = 20,195.60

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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.