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Finding the Fourth Proportional to 32,365.96, 48,568.38 and 13,644.85

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Solution

The fourth proportional to 32,365.96, 48,568.38 and 13,644.85 is: 20,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,365.96 : 48,568.38 = 13,644.85 : x
  2. Step 2: Convert to fraction form
    32,365.96/48,568.38 = 13,644.85/x
  3. Step 3: Cross multiply
    32,365.96x = 48,568.38 × 13,644.85
  4. Step 4: Simplify right side
    32,365.96x = 662,708,259.84
  5. Step 5: Solve for x
    x = 662,708,259.84/32,365.96
  6. Step 6: Final answer
    x = 20,475.47

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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.