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Finding the Fourth Proportional to 32,171.60, 48,240.94 and 13,446.53

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Solution

The fourth proportional to 32,171.60, 48,240.94 and 13,446.53 is: 20,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,171.60 : 48,240.94 = 13,446.53 : x
  2. Step 2: Convert to fraction form
    32,171.60/48,240.94 = 13,446.53/x
  3. Step 3: Cross multiply
    32,171.60x = 48,240.94 × 13,446.53
  4. Step 4: Simplify right side
    32,171.60x = 648,672,938.50
  5. Step 5: Solve for x
    x = 648,672,938.50/32,171.60
  6. Step 6: Final answer
    x = 20,162.91

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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.