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Finding the Fourth Proportional to 33,296.49, 49,928.02 and 11,102.01

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Solution

The fourth proportional to 33,296.49, 49,928.02 and 11,102.01 is: 16,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,296.49 : 49,928.02 = 11,102.01 : x
  2. Step 2: Convert to fraction form
    33,296.49/49,928.02 = 11,102.01/x
  3. Step 3: Cross multiply
    33,296.49x = 49,928.02 × 11,102.01
  4. Step 4: Simplify right side
    33,296.49x = 554,301,321.81
  5. Step 5: Solve for x
    x = 554,301,321.81/33,296.49
  6. Step 6: Final answer
    x = 16,647.44

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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.