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Finding the Fourth Proportional to 33,122.02, 49,678.17 and 10,936.12

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Solution

The fourth proportional to 33,122.02, 49,678.17 and 10,936.12 is: 16,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.02 : 49,678.17 = 10,936.12 : x
  2. Step 2: Convert to fraction form
    33,122.02/49,678.17 = 10,936.12/x
  3. Step 3: Cross multiply
    33,122.02x = 49,678.17 × 10,936.12
  4. Step 4: Simplify right side
    33,122.02x = 543,286,428.50
  5. Step 5: Solve for x
    x = 543,286,428.50/33,122.02
  6. Step 6: Final answer
    x = 16,402.58

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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.