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Finding the Fourth Proportional to 32,365.57, 48,567.23 and 13,644.46

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Solution

The fourth proportional to 32,365.57, 48,567.23 and 13,644.46 is: 20,474.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,365.57 : 48,567.23 = 13,644.46 : x
  2. Step 2: Convert to fraction form
    32,365.57/48,567.23 = 13,644.46/x
  3. Step 3: Cross multiply
    32,365.57x = 48,567.23 × 13,644.46
  4. Step 4: Simplify right side
    32,365.57x = 662,673,627.05
  5. Step 5: Solve for x
    x = 662,673,627.05/32,365.57
  6. Step 6: Final answer
    x = 20,474.65

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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.