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Finding the Fourth Proportional to 32,191.12, 48,305.53 and 13,469.59

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Solution

The fourth proportional to 32,191.12, 48,305.53 and 13,469.59 is: 20,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,191.12 : 48,305.53 = 13,469.59 : x
  2. Step 2: Convert to fraction form
    32,191.12/48,305.53 = 13,469.59/x
  3. Step 3: Cross multiply
    32,191.12x = 48,305.53 × 13,469.59
  4. Step 4: Simplify right side
    32,191.12x = 650,655,683.83
  5. Step 5: Solve for x
    x = 650,655,683.83/32,191.12
  6. Step 6: Final answer
    x = 20,212.27

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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.