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Finding the Fourth Proportional to 32,149.61, 48,232.07 and 13,419.22

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Solution

The fourth proportional to 32,149.61, 48,232.07 and 13,419.22 is: 20,132.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.61 : 48,232.07 = 13,419.22 : x
  2. Step 2: Convert to fraction form
    32,149.61/48,232.07 = 13,419.22/x
  3. Step 3: Cross multiply
    32,149.61x = 48,232.07 × 13,419.22
  4. Step 4: Simplify right side
    32,149.61x = 647,236,758.39
  5. Step 5: Solve for x
    x = 647,236,758.39/32,149.61
  6. Step 6: Final answer
    x = 20,132.03

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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.