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Finding the Fourth Proportional to 32,419.75, 48,629.63 and 10,531.75

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Solution

The fourth proportional to 32,419.75, 48,629.63 and 10,531.75 is: 15,797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,419.75 : 48,629.63 = 10,531.75 : x
  2. Step 2: Convert to fraction form
    32,419.75/48,629.63 = 10,531.75/x
  3. Step 3: Cross multiply
    32,419.75x = 48,629.63 × 10,531.75
  4. Step 4: Simplify right side
    32,419.75x = 512,155,105.75
  5. Step 5: Solve for x
    x = 512,155,105.75/32,419.75
  6. Step 6: Final answer
    x = 15,797.63

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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.