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Finding the Fourth Proportional to 33,459.39, 50,196.50 and 10,084.14

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Solution

The fourth proportional to 33,459.39, 50,196.50 and 10,084.14 is: 15,128.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,459.39 : 50,196.50 = 10,084.14 : x
  2. Step 2: Convert to fraction form
    33,459.39/50,196.50 = 10,084.14/x
  3. Step 3: Cross multiply
    33,459.39x = 50,196.50 × 10,084.14
  4. Step 4: Simplify right side
    33,459.39x = 506,188,533.51
  5. Step 5: Solve for x
    x = 506,188,533.51/33,459.39
  6. Step 6: Final answer
    x = 15,128.44

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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.