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Finding the Fourth Proportional to 32,295.38, 48,450.09 and 13,564.73

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Solution

The fourth proportional to 32,295.38, 48,450.09 and 13,564.73 is: 20,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,295.38 : 48,450.09 = 13,564.73 : x
  2. Step 2: Convert to fraction form
    32,295.38/48,450.09 = 13,564.73/x
  3. Step 3: Cross multiply
    32,295.38x = 48,450.09 × 13,564.73
  4. Step 4: Simplify right side
    32,295.38x = 657,212,389.33
  5. Step 5: Solve for x
    x = 657,212,389.33/32,295.38
  6. Step 6: Final answer
    x = 20,350.04

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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.