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Finding the Fourth Proportional to 32,839.68, 49,250.54 and 11,775.81

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Solution

The fourth proportional to 32,839.68, 49,250.54 and 11,775.81 is: 17,660.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,839.68 : 49,250.54 = 11,775.81 : x
  2. Step 2: Convert to fraction form
    32,839.68/49,250.54 = 11,775.81/x
  3. Step 3: Cross multiply
    32,839.68x = 49,250.54 × 11,775.81
  4. Step 4: Simplify right side
    32,839.68x = 579,964,942.56
  5. Step 5: Solve for x
    x = 579,964,942.56/32,839.68
  6. Step 6: Final answer
    x = 17,660.49

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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.