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Finding the Fourth Proportional to 33,804.68, 50,709.76 and 11,618.08

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Solution

The fourth proportional to 33,804.68, 50,709.76 and 11,618.08 is: 17,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,804.68 : 50,709.76 = 11,618.08 : x
  2. Step 2: Convert to fraction form
    33,804.68/50,709.76 = 11,618.08/x
  3. Step 3: Cross multiply
    33,804.68x = 50,709.76 × 11,618.08
  4. Step 4: Simplify right side
    33,804.68x = 589,149,892.64
  5. Step 5: Solve for x
    x = 589,149,892.64/33,804.68
  6. Step 6: Final answer
    x = 17,428.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.