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Finding the Fourth Proportional to 32,163.39, 48,233.16 and 11,097.99

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Solution

The fourth proportional to 32,163.39, 48,233.16 and 11,097.99 is: 16,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,163.39 : 48,233.16 = 11,097.99 : x
  2. Step 2: Convert to fraction form
    32,163.39/48,233.16 = 11,097.99/x
  3. Step 3: Cross multiply
    32,163.39x = 48,233.16 × 11,097.99
  4. Step 4: Simplify right side
    32,163.39x = 535,291,127.35
  5. Step 5: Solve for x
    x = 535,291,127.35/32,163.39
  6. Step 6: Final answer
    x = 16,642.87

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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.