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Finding the Fourth Proportional to 32,189.43, 48,206.16 and 16,352.79

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Solution

The fourth proportional to 32,189.43, 48,206.16 and 16,352.79 is: 24,489.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,189.43 : 48,206.16 = 16,352.79 : x
  2. Step 2: Convert to fraction form
    32,189.43/48,206.16 = 16,352.79/x
  3. Step 3: Cross multiply
    32,189.43x = 48,206.16 × 16,352.79
  4. Step 4: Simplify right side
    32,189.43x = 788,305,211.19
  5. Step 5: Solve for x
    x = 788,305,211.19/32,189.43
  6. Step 6: Final answer
    x = 24,489.57

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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.